// Copyright 2017 Google Inc.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//      http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
//
// Automatically generated table.
//
// Author: Skal (pascal.massimino@gmail.com)

#include "./sjpegi.h"

namespace sjpeg {

const int kRGBSize = 7;
const uint8_t kSharpnessScore[] = {  // 114k
   0,  2,  2,  3,  3,  2,  2,  1,  2,  2,  3,  2,  2,  1,  2,  1,  2,  2,  2,
   1,  2,  2,  1,  1,  2,  2,  3,  4,  4,  4,  4,  4,  5,  4,  4,  8,  8,  8,
   7,  5,  4,  4, 14, 12,  9,  8,  6,  4,  4,  2,  1,  2,  2,  2,  2,  1,  2,
   0,  2,  2,  2,  1,  1,  2,  1,  1,  2,  2,  1,  3,  2,  2,  2,  2,  2,  3,
   4,  5,  5,  5,  5,  5,  4,  4, 11,  9,  9,  8,  6,  5,  4, 18, 14, 11,  9,
   7,  5,  4,  2,  1,  1,  1,  1,  3,  6,  2,  2,  1,  1,  1,  3,  6,  3,  2,
   2,  2,  3,  3,  7,  6,  3,  5,  6,  6,  6,  8,  9,  7,  9,  9,  9,  8,  8,
  14, 12, 13, 12, 11, 10,  8, 20, 18, 16, 14, 13, 11, 10,  3,  6,  6,  7,  7,
   7, 10,  6,  7,  7,  8,  8,  8, 10, 10,  7,  9,  9, 10, 10, 10, 13, 10, 12,
  13, 13, 13, 12, 13, 15, 17, 17, 17, 16, 15, 14, 22, 21, 20, 19, 18, 17, 20,
  27, 25, 23, 20, 19, 19, 14, 15, 14, 14, 15, 14,  9, 16, 16, 16, 16, 16, 15,
   9, 16, 17, 18, 18, 18, 17, 14, 16, 21, 21, 22, 22, 20, 17, 19, 26, 27, 26,
  25, 24, 18, 23, 30, 32, 29, 28, 25, 20, 27, 33, 35, 32, 30, 28, 22, 24, 25,
  24, 24, 21, 17, 12, 23, 27, 25, 26, 22, 17, 14, 24, 30, 29, 28, 24, 20, 17,
  24, 31, 32, 32, 28, 24, 20, 27, 34, 37, 36, 32, 27, 22, 30, 36, 42, 41, 34,
  29, 23, 33, 39, 44, 44, 38, 31, 26, 32, 37, 36, 29, 23, 19, 15, 31, 38, 39,
  31, 25, 20, 16, 31, 38, 41, 34, 28, 24, 20, 31, 38, 44, 38, 33, 27, 24, 34,
  41, 46, 45, 37, 31, 25, 36, 43, 47, 49, 40, 33, 27, 39, 44, 49, 49, 42, 36,
  29,  2,  0,  2,  2,  2,  2,  1,  2,  1,  2,  2,  2,  1,  1,  2,  2,  1,  2,
   1,  2,  3,  2,  2,  2,  2,  3,  4,  5,  5,  5,  5,  5,  6,  5,  5,  9,  9,
   9,  8,  6,  5,  5, 15, 14, 10,  8,  7,  5,  5,  2,  2,  1,  2,  1,  1,  4,
   2,  2,  0,  2,  1,  1,  4,  2,  2,  1,  1,  1,  3,  5,  3,  3,  3,  3,  3,
   4,  6,  7,  6,  7,  6,  6,  5,  6, 12, 11, 10,  9,  8,  7,  6, 19, 16, 12,
  10,  9,  8,  6,  2,  2,  3,  3,  3,  5,  7,  3,  2,  3,  4,  4,  5,  7,  7,
   2,  4,  6,  6,  6,  9, 10,  4,  8,  9,  9,  9, 11, 13,  8, 11, 13, 13, 12,
  11, 17, 14, 15, 16, 15, 14, 10, 21, 20, 18, 18, 16, 15, 13,  7,  7,  9,  9,
  10,  8, 11, 11,  8, 10, 11, 11, 11, 11, 13,  8, 11, 13, 13, 14, 13, 16, 11,
  16, 17, 17, 17, 15, 17, 17, 20, 21, 21, 20, 18, 18, 23, 25, 24, 23, 21, 20,
  21, 29, 28, 26, 25, 23, 22, 16, 17, 17, 17, 18, 17, 11, 20, 18, 19, 19, 19,
  18, 11, 19, 20, 20, 22, 21, 20, 16, 19, 24, 26, 25, 26, 24, 22, 21, 29, 31,
  30, 31, 27, 22, 26, 33, 35, 33, 31, 30, 25, 30, 36, 39, 36, 35, 31, 26, 27,
  28, 28, 27, 23, 20, 15, 26, 30, 29, 29, 25, 21, 17, 27, 32, 32, 32, 28, 24,
  21, 26, 35, 38, 37, 32, 29, 25, 30, 38, 41, 41, 36, 31, 25, 34, 40, 47, 45,
  39, 33, 27, 37, 44, 48, 49, 41, 35, 29, 35, 42, 40, 33, 27, 22, 18, 36, 41,
  42, 34, 29, 24, 21, 36, 41, 46, 38, 32, 28, 24, 35, 43, 49, 42, 37, 32, 28,
  38, 45, 51, 48, 42, 36, 30, 40, 47, 53, 51, 44, 38, 32, 44, 49, 54, 55, 47,
  39, 34,  2,  2,  0,  2,  2,  1,  2,  3,  2,  1,  2,  2,  1,  3,  3,  2,  1,
   1,  2,  3,  5,  3,  3,  3,  3,  3,  4,  5,  6,  6,  7,  6,  6,  5,  6, 11,
  10, 10,  9,  7,  5,  5, 17, 15, 12, 10,  8,  5,  6,  3,  2,  2,  1,  1,  3,
   6,  3,  2,  2,  1,  1,  3,  6,  4,  3,  2,  2,  3,  5,  7,  7,  4,  4,  5,
   6,  6,  8, 11,  7,  8,  9,  9,  6,  9, 14, 12, 12, 11, 11, 10,  8, 20, 17,
  14, 12, 13, 11,  9,  4,  3,  4,  5,  6,  6,  8,  8,  3,  4,  6,  7,  6,  9,
  11,  3,  5,  9, 10,  8, 11, 14,  5,  9, 12, 13, 12, 13, 17, 10, 12, 16, 17,
  16, 13, 21, 15, 17, 20, 19, 17, 12, 23, 20, 20, 21, 20, 19, 16, 11,  8, 12,
  13, 12, 10, 13, 15,  9, 12, 14, 14, 14, 14, 18, 10, 13, 16, 17, 17, 16, 20,
  14, 18, 20, 21, 21, 18, 21, 20, 22, 24, 25, 24, 21, 21, 25, 27, 28, 27, 26,
  25, 23, 31, 30, 30, 28, 27, 26, 19, 19, 20, 21, 21, 20, 13, 23, 21, 21, 22,
  23, 21, 14, 23, 22, 23, 25, 25, 25, 19, 23, 26, 28, 29, 29, 28, 25, 24, 31,
  34, 34, 34, 32, 26, 28, 36, 40, 38, 37, 34, 28, 32, 40, 43, 40, 39, 35, 29,
  29, 32, 31, 30, 26, 22, 17, 29, 33, 32, 32, 29, 25, 21, 29, 36, 36, 36, 32,
  28, 24, 29, 38, 42, 40, 36, 32, 28, 32, 42, 45, 44, 40, 35, 30, 37, 45, 50,
  49, 42, 37, 31, 40, 47, 52, 52, 46, 39, 33, 38, 45, 42, 36, 30, 25, 21, 39,
  45, 45, 38, 32, 28, 24, 39, 45, 49, 42, 37, 32, 28, 38, 46, 52, 46, 41, 35,
  31, 42, 49, 55, 52, 45, 40, 34, 45, 51, 57, 57, 48, 42, 36, 48, 53, 58, 57,
  51, 44, 38,  3,  2,  2,  0,  0,  2,  4,  3,  2,  2,  0,  1,  3,  6,  3,  3,
   2,  2,  2,  4,  7,  4,  4,  4,  5,  4,  5,  7,  8,  7,  8,  8,  7,  6,  7,
  12, 11, 12, 10,  8,  6,  7, 18, 16, 13, 11,  9,  6,  8,  3,  2,  2,  2,  3,
   5,  7,  4,  3,  2,  2,  3,  6,  8,  8,  3,  2,  3,  6,  7,  9, 11,  4,  5,
   6,  9,  8, 11, 14,  8,  9, 10, 12,  8, 11, 17, 13, 13, 13, 14, 12, 11, 22,
  18, 15, 13, 16, 15, 11,  8,  3,  5,  8,  8,  8, 10, 12,  3,  5,  8, 10,  8,
  11, 15,  5,  6, 11, 13,  9, 13, 18,  9, 10, 15, 16, 16, 16, 21, 12, 14, 19,
  19, 19, 16, 24, 17, 18, 21, 22, 21, 16, 26, 22, 20, 23, 23, 22, 19, 15,  9,
  13, 15, 16, 12, 15, 18, 11, 14, 16, 17, 17, 17, 22, 13, 15, 19, 21, 21, 19,
  26, 17, 20, 24, 23, 25, 21, 26, 22, 24, 27, 28, 27, 24, 25, 27, 30, 31, 31,
  29, 27, 25, 33, 33, 33, 32, 31, 30, 23, 20, 22, 24, 24, 23, 16, 26, 22, 25,
  25, 26, 25, 17, 26, 25, 26, 28, 30, 28, 22, 26, 29, 31, 33, 33, 32, 27, 28,
  34, 37, 36, 38, 36, 30, 30, 39, 42, 42, 41, 37, 32, 34, 43, 46, 44, 42, 39,
  33, 31, 34, 33, 33, 30, 26, 20, 31, 36, 35, 35, 32, 28, 24, 32, 37, 39, 39,
  36, 31, 28, 32, 40, 45, 42, 40, 37, 32, 34, 44, 50, 48, 44, 40, 34, 39, 47,
  54, 52, 47, 40, 35, 43, 48, 56, 56, 49, 43, 37, 43, 46, 45, 39, 32, 29, 25,
  42, 47, 47, 40, 35, 31, 28, 41, 47, 49, 44, 39, 36, 31, 42, 48, 55, 50, 44,
  40, 34, 45, 52, 57, 55, 49, 43, 38, 48, 54, 59, 60, 53, 44, 39, 51, 57, 61,
  60, 54, 47, 41,  3,  2,  2,  0,  0,  2,  4,  3,  2,  2,  1,  0,  3,  6,  3,
   2,  2,  2,  2,  4,  6,  4,  4,  4,  4,  4,  5,  7,  8,  7,  8,  8,  7,  6,
   8, 12, 12, 11, 11,  8,  6,  8, 18, 16, 13, 11,  9,  6,  8,  3,  2,  2,  2,
   3,  5,  7,  4,  3,  2,  2,  3,  6,  8,  8,  3,  2,  3,  6,  7,  9, 12,  5,
   5,  6,  9,  8, 11, 14,  8,  9, 10, 12,  8, 10, 17, 13, 13, 13, 14, 13, 11,
  22, 18, 15, 13, 15, 15, 11,  8,  3,  5,  8,  8,  8, 10, 12,  3,  5,  9, 10,
   8, 11, 16,  5,  6, 11, 13,  9, 13, 17,  8,  9, 15, 16, 15, 15, 22, 12, 14,
  19, 20, 20, 16, 24, 17, 18, 21, 22, 21, 16, 26, 22, 20, 23, 24, 22, 19, 15,
   9, 13, 15, 15, 12, 16, 18, 11, 14, 16, 17, 17, 17, 21, 13, 15, 19, 21, 21,
  19, 26, 17, 20, 23, 24, 25, 20, 25, 21, 24, 27, 27, 27, 24, 24, 27, 29, 30,
  30, 29, 27, 26, 33, 32, 33, 32, 31, 30, 23, 21, 23, 24, 23, 22, 15, 26, 22,
  24, 24, 26, 25, 17, 26, 24, 25, 28, 30, 27, 22, 26, 29, 30, 33, 33, 32, 27,
  28, 34, 36, 38, 37, 35, 30, 30, 38, 43, 42, 41, 37, 32, 33, 42, 46, 44, 42,
  39, 34, 32, 34, 33, 33, 29, 26, 20, 32, 37, 35, 35, 32, 28, 24, 31, 38, 38,
  39, 36, 32, 28, 31, 40, 44, 44, 39, 36, 32, 35, 42, 49, 48, 44, 40, 33, 39,
  47, 54, 53, 46, 40, 36, 44, 50, 54, 55, 48, 43, 37, 40, 47, 44, 37, 33, 28,
  25, 41, 48, 47, 40, 35, 31, 28, 40, 47, 50, 44, 40, 35, 31, 41, 49, 55, 50,
  44, 39, 35, 44, 52, 58, 55, 47, 43, 38, 48, 55, 60, 59, 50, 45, 39, 50, 57,
  62, 62, 53, 47, 42,  2,  2,  1,  2,  2,  0,  3,  2,  2,  1,  2,  2,  1,  4,
   2,  2,  1,  2,  4,  3,  5,  3,  3,  4,  4,  6,  6,  6,  6,  7,  7,  7,  9,
   8,  6, 11, 11, 11, 10,  9,  8,  6, 18, 15, 13, 11, 10,  7,  6,  2,  2,  2,
   1,  1,  3,  5,  3,  2,  2,  1,  1,  4,  6,  6,  2,  2,  3,  4,  5,  7, 10,
   4,  5,  6,  7,  6,  9, 11,  8,  9,  9, 10,  7,  8, 16, 13, 13, 12, 12, 11,
   9, 21, 18, 15, 13, 14, 13,  9,  6,  2,  4,  6,  6,  6,  8, 10,  2,  4,  7,
   8,  6,  9, 14,  3,  5,  9, 10,  7, 11, 16,  6,  9, 13, 14, 13, 13, 18, 11,
  12, 17, 18, 17, 13, 22, 16, 17, 20, 20, 18, 13, 25, 22, 20, 22, 22, 20, 17,
  14,  7, 12, 13, 13,  9, 13, 17,  9, 12, 14, 15, 14, 14, 20, 12, 13, 17, 18,
  19, 16, 22, 15, 18, 22, 22, 22, 18, 22, 20, 22, 25, 26, 25, 21, 23, 25, 28,
  28, 28, 27, 24, 24, 31, 31, 30, 30, 29, 27, 22, 19, 21, 21, 21, 20, 13, 24,
  20, 22, 22, 23, 22, 14, 24, 22, 23, 26, 26, 25, 19, 25, 26, 28, 29, 32, 29,
  25, 25, 32, 34, 35, 35, 32, 27, 28, 36, 41, 39, 37, 34, 30, 32, 40, 43, 43,
  39, 36, 30, 29, 32, 32, 30, 26, 22, 17, 29, 35, 32, 32, 29, 25, 22, 29, 35,
  35, 36, 33, 29, 25, 29, 38, 41, 41, 37, 33, 29, 33, 41, 47, 45, 42, 37, 30,
  38, 44, 52, 52, 44, 38, 32, 41, 47, 53, 53, 47, 40, 34, 39, 46, 42, 36, 30,
  26, 22, 39, 45, 45, 38, 33, 29, 25, 39, 44, 48, 42, 36, 33, 28, 39, 46, 52,
  47, 41, 37, 33, 42, 50, 54, 52, 45, 39, 36, 45, 52, 58, 56, 49, 43, 35, 49,
  54, 58, 59, 52, 44, 37,  1,  1,  2,  4,  4,  3,  0,  2,  1,  2,  4,  4,  3,
   2,  2,  1,  1,  4,  5,  4,  4,  2,  3,  3,  5,  7,  7,  6,  5,  6,  7,  8,
  10,  8,  7, 10, 10, 11, 11, 10,  8,  7, 17, 15, 12, 11, 11,  8,  7,  2,  1,
   1,  3,  2,  2,  3,  2,  2,  1,  2,  2,  2,  4,  2,  2,  1,  3,  3,  3,  5,
   6,  3,  4,  5,  5,  4,  6,  9,  7,  8,  8,  8,  6,  6, 13, 12, 12, 11,  9,
   8,  6, 20, 18, 13, 12, 11,  9,  6,  2,  2,  3,  3,  3,  5,  6,  6,  2,  3,
   4,  4,  4,  6, 11,  2,  4,  7,  7,  5,  8, 15,  4,  8, 10, 10, 10, 10, 16,
   9, 11, 14, 14, 14, 10, 19, 14, 16, 18, 16, 15, 10, 23, 21, 19, 19, 18, 16,
  14, 11,  7,  9, 10, 10,  7, 11, 15,  7, 10, 11, 12, 11, 11, 17,  9, 12, 14,
  15, 15, 12, 19, 13, 16, 18, 18, 18, 14, 19, 17, 20, 22, 23, 22, 18, 20, 23,
  26, 26, 25, 23, 21, 22, 29, 29, 27, 26, 25, 23, 19, 17, 18, 18, 18, 17, 11,
  22, 18, 20, 19, 20, 19, 11, 22, 20, 21, 23, 23, 22, 17, 22, 24, 26, 27, 27,
  26, 22, 23, 30, 31, 32, 32, 28, 24, 25, 34, 37, 36, 34, 30, 26, 30, 37, 41,
  37, 36, 33, 27, 27, 29, 27, 27, 24, 20, 15, 26, 31, 30, 29, 26, 22, 18, 27,
  33, 32, 33, 30, 26, 22, 26, 35, 39, 36, 34, 29, 25, 31, 37, 43, 42, 38, 33,
  28, 35, 44, 48, 47, 40, 34, 30, 38, 45, 49, 49, 42, 37, 31, 35, 41, 38, 32,
  26, 23, 18, 36, 42, 41, 35, 29, 25, 22, 36, 40, 43, 38, 33, 29, 25, 36, 42,
  50, 43, 37, 34, 29, 39, 45, 52, 47, 42, 37, 31, 42, 47, 53, 54, 45, 39, 33,
  46, 51, 54, 54, 46, 40, 35,  1,  2,  3,  3,  3,  2,  2,  0,  2,  2,  3,  3,
   2,  1,  1,  2,  2,  2,  2,  2,  2,  2,  2,  2,  2,  2,  2,  4,  4,  3,  4,
   4,  5,  4,  4,  7,  7,  7,  7,  5,  4,  4, 13, 12,  9,  7,  6,  4,  4,  1,
   2,  2,  3,  2,  2,  1,  2,  1,  2,  2,  2,  1,  0,  2,  0,  2,  2,  2,  1,
   2,  2,  2,  2,  2,  2,  3,  4,  5,  5,  5,  5,  5,  4,  4, 10,  9,  9,  8,
   6,  4,  4, 17, 14, 11,  8,  6,  5,  4,  2,  1,  1,  2,  2,  2,  5,  2,  1,
   1,  1,  1,  2,  6,  2,  2,  1,  2,  2,  2,  6,  5,  3,  4,  4,  5,  5,  7,
   8,  7,  8,  8,  8,  7,  7, 13, 12, 12, 11, 10,  9,  7, 20, 17, 15, 13, 11,
  10,  9,  2,  5,  6,  6,  6,  6,  9,  5,  6,  6,  7,  7,  7,  9,  8,  7,  8,
   8,  9,  9,  9, 11,  9, 11, 12, 12, 12, 11, 12, 15, 15, 16, 15, 15, 14, 14,
  20, 20, 20, 18, 17, 16, 19, 27, 24, 21, 20, 18, 17, 13, 14, 13, 14, 14, 13,
   9, 15, 15, 14, 15, 15, 14,  9, 15, 17, 17, 17, 17, 16, 12, 15, 21, 20, 20,
  21, 19, 16, 18, 25, 25, 24, 24, 23, 17, 22, 29, 30, 29, 26, 24, 19, 26, 32,
  33, 31, 29, 26, 21, 23, 24, 23, 22, 20, 15, 12, 23, 27, 25, 25, 21, 16, 13,
  23, 28, 28, 26, 23, 19, 15, 23, 30, 32, 31, 28, 22, 19, 26, 32, 36, 36, 31,
  26, 20, 29, 34, 41, 39, 34, 28, 23, 31, 38, 41, 42, 35, 30, 25, 31, 37, 35,
  29, 23, 18, 14, 31, 37, 38, 30, 25, 19, 15, 30, 36, 40, 33, 27, 23, 18, 30,
  37, 44, 37, 31, 26, 23, 33, 39, 45, 43, 36, 30, 24, 36, 42, 48, 47, 39, 31,
  27, 38, 43, 48, 49, 42, 34, 28,  2,  1,  2,  2,  2,  2,  1,  2,  0,  2,  3,
   2,  2,  1,  2,  1,  1,  2,  2,  1,  3,  2,  2,  2,  2,  3,  3,  5,  5,  5,
   5,  5,  5,  5,  4,  9,  8,  8,  8,  6,  5,  4, 15, 13, 10,  8,  7,  5,  4,
   2,  1,  2,  2,  2,  1,  3,  2,  2,  1,  2,  1,  1,  3,  2,  2,  1,  1,  1,
   2,  5,  2,  3,  3,  3,  3,  3,  6,  6,  6,  6,  6,  6,  4,  6, 11, 10, 10,
   9,  7,  5,  6, 19, 15, 12,  9,  8,  7,  6,  2,  2,  2,  2,  2,  4,  7,  3,
   2,  3,  3,  3,  5,  7,  5,  2,  4,  5,  5,  5,  8,  9,  3,  7,  8,  8,  8,
   9, 12,  8, 11, 11, 12, 11, 10, 16, 13, 15, 15, 14, 12, 10, 21, 19, 18, 17,
  15, 14, 13,  5,  7,  8,  8,  9,  8, 11,  9,  7,  9, 10, 10, 10, 11, 12,  8,
  11, 11, 12, 12, 12, 16, 11, 15, 16, 16, 15, 14, 16, 17, 19, 19, 20, 19, 17,
  16, 23, 24, 23, 22, 20, 19, 21, 29, 27, 25, 23, 22, 20, 16, 16, 17, 16, 17,
  16, 10, 18, 18, 18, 18, 18, 17, 11, 18, 19, 20, 20, 21, 19, 16, 18, 24, 24,
  25, 25, 23, 20, 21, 29, 29, 28, 28, 26, 21, 24, 32, 34, 33, 31, 28, 24, 29,
  36, 38, 34, 33, 30, 25, 26, 28, 26, 26, 22, 18, 14, 25, 31, 28, 28, 23, 19,
  16, 26, 32, 31, 31, 27, 23, 19, 26, 33, 36, 33, 32, 26, 22, 29, 36, 40, 38,
  35, 30, 25, 33, 39, 45, 44, 36, 31, 27, 35, 42, 45, 46, 41, 33, 29, 35, 41,
  38, 31, 26, 21, 17, 35, 40, 41, 34, 27, 23, 19, 35, 41, 44, 37, 30, 26, 22,
  34, 41, 47, 41, 35, 31, 26, 37, 43, 50, 47, 40, 34, 29, 39, 46, 52, 51, 42,
  37, 30, 42, 49, 53, 53, 44, 39, 32,  2,  1,  1,  2,  2,  1,  2,  2,  2,  0,
   2,  2,  1,  3,  3,  2,  1,  1,  2,  2,  4,  3,  3,  3,  3,  3,  4,  5,  5,
   6,  6,  6,  6,  5,  5, 10, 10,  9,  8,  7,  5,  5, 17, 15, 11,  9,  7,  5,
   5,  3,  2,  1,  1,  1,  3,  5,  3,  2,  2,  1,  1,  3,  6,  3,  2,  2,  2,
   2,  4,  7,  6,  4,  4,  4,  5,  5,  8,  9,  7,  7,  8,  8,  5,  8, 13, 12,
  11, 11, 10,  9,  8, 20, 17, 13, 11, 11, 10,  8,  3,  2,  4,  5,  5,  6,  8,
   6,  3,  4,  6,  6,  6,  8, 10,  3,  5,  8,  8,  7, 10, 13,  4,  9, 11, 12,
  11, 12, 16,  9, 12, 15, 15, 15, 12, 20, 14, 16, 18, 17, 16, 12, 22, 20, 19,
  20, 19, 17, 16, 10,  7, 11, 11, 11,  9, 12, 13,  8, 11, 12, 13, 13, 13, 16,
  10, 13, 16, 16, 16, 15, 18, 13, 17, 19, 19, 19, 17, 20, 18, 22, 23, 24, 22,
  19, 20, 24, 27, 27, 25, 25, 22, 23, 30, 30, 28, 27, 26, 25, 19, 18, 19, 19,
  20, 18, 12, 21, 19, 20, 21, 21, 20, 13, 22, 21, 23, 24, 25, 23, 18, 21, 26,
  27, 28, 28, 27, 23, 24, 31, 33, 32, 33, 30, 25, 27, 36, 38, 36, 34, 31, 26,
  31, 39, 41, 38, 37, 34, 28, 28, 31, 30, 29, 25, 21, 17, 28, 33, 32, 31, 28,
  23, 19, 27, 35, 35, 34, 31, 26, 23, 28, 36, 40, 38, 35, 30, 27, 32, 41, 45,
  44, 39, 34, 29, 35, 43, 51, 48, 42, 36, 30, 39, 46, 51, 50, 44, 38, 32, 37,
  44, 41, 34, 29, 24, 20, 39, 44, 44, 37, 32, 26, 23, 38, 43, 47, 40, 36, 31,
  26, 38, 45, 50, 45, 39, 35, 30, 40, 48, 54, 50, 43, 37, 32, 44, 51, 56, 53,
  46, 40, 34, 46, 52, 57, 57, 49, 42, 37,  3,  2,  2,  0,  0,  2,  4,  3,  3,
   2,  0,  1,  2,  5,  3,  3,  2,  2,  2,  3,  6,  4,  4,  4,  4,  4,  5,  7,
   7,  7,  7,  7,  7,  6,  7, 12, 11, 11, 10,  8,  6,  7, 17, 15, 12, 10,  9,
   6,  7,  3,  3,  2,  2,  2,  5,  7,  3,  3,  2,  2,  2,  5,  8,  7,  3,  2,
   3,  5,  6,  9, 10,  4,  5,  6,  8,  7, 10, 13,  8,  9,  9, 12,  8, 10, 16,
  13, 13, 12, 13, 12, 10, 22, 18, 14, 13, 15, 14, 10,  7,  3,  5,  7,  7,  8,
  10, 11,  3,  5,  8,  9,  8, 11, 14,  4,  6, 11, 12,  9, 12, 17,  7,  9, 14,
  15, 15, 15, 19, 11, 13, 18, 19, 18, 15, 24, 16, 18, 20, 21, 20, 15, 25, 21,
  20, 22, 22, 21, 18, 14,  8, 13, 14, 14, 11, 15, 17, 10, 13, 15, 17, 16, 16,
  20, 12, 14, 18, 20, 20, 18, 22, 16, 19, 22, 23, 23, 19, 23, 21, 24, 26, 27,
  27, 23, 24, 26, 29, 30, 30, 28, 27, 25, 32, 32, 31, 31, 29, 29, 22, 20, 22,
  23, 23, 22, 15, 27, 21, 24, 24, 25, 24, 16, 25, 23, 26, 28, 28, 27, 21, 25,
  29, 30, 32, 33, 31, 27, 27, 34, 36, 37, 37, 34, 29, 30, 38, 42, 41, 38, 35,
  31, 32, 41, 45, 42, 42, 38, 33, 32, 33, 34, 32, 29, 25, 19, 31, 36, 35, 34,
  32, 27, 24, 31, 38, 37, 38, 34, 30, 27, 31, 39, 43, 42, 39, 35, 31, 35, 43,
  50, 47, 44, 39, 33, 39, 47, 55, 52, 46, 39, 34, 43, 50, 54, 55, 49, 42, 36,
  41, 46, 44, 38, 32, 27, 24, 41, 46, 46, 40, 34, 31, 27, 40, 48, 50, 44, 40,
  35, 30, 41, 47, 55, 48, 43, 39, 34, 44, 50, 58, 54, 48, 42, 37, 47, 54, 60,
  58, 52, 45, 37, 50, 55, 61, 60, 54, 47, 39,  2,  2,  2,  1,  1,  2,  4,  3,
   2,  2,  1,  0,  2,  5,  3,  2,  2,  2,  2,  4,  6,  4,  4,  4,  4,  4,  5,
   7,  8,  7,  7,  7,  7,  6,  7, 12, 11, 11, 10,  8,  6,  7, 17, 15, 13, 10,
   9,  6,  7,  3,  2,  2,  1,  3,  5,  8,  4,  2,  2,  2,  3,  5,  8,  7,  3,
   2,  3,  6,  6,  9, 11,  4,  5,  6,  9,  7, 10, 14,  8,  8,  9, 12,  8, 10,
  17, 13, 13, 12, 14, 12, 10, 22, 18, 14, 13, 15, 14, 10,  7,  3,  5,  8,  8,
   9, 11, 12,  3,  5,  8,  9,  8, 11, 15,  5,  5, 11, 12,  9, 13, 18,  8,  9,
  15, 16, 15, 15, 21, 12, 13, 18, 19, 19, 15, 25, 16, 18, 21, 21, 21, 15, 25,
  22, 20, 23, 23, 22, 19, 15,  8, 13, 15, 15, 12, 16, 18, 10, 14, 16, 17, 17,
  17, 21, 13, 14, 19, 20, 21, 18, 25, 17, 19, 23, 23, 24, 20, 25, 21, 24, 27,
  28, 27, 23, 25, 26, 29, 31, 30, 28, 26, 25, 32, 32, 32, 31, 31, 29, 23, 21,
  22, 24, 24, 23, 16, 26, 22, 23, 24, 26, 25, 17, 26, 24, 26, 28, 30, 28, 21,
  26, 28, 31, 33, 33, 32, 27, 27, 35, 36, 36, 38, 35, 30, 29, 38, 41, 42, 39,
  36, 31, 34, 41, 45, 43, 42, 38, 33, 32, 34, 34, 32, 30, 25, 20, 31, 35, 35,
  35, 32, 28, 23, 31, 38, 38, 38, 35, 31, 28, 31, 40, 44, 43, 39, 35, 32, 34,
  43, 49, 47, 43, 40, 32, 40, 46, 54, 52, 46, 39, 35, 43, 50, 55, 55, 48, 42,
  36, 42, 47, 45, 39, 33, 28, 24, 41, 47, 48, 40, 35, 31, 27, 41, 47, 50, 45,
  40, 35, 31, 42, 48, 56, 49, 44, 39, 35, 45, 51, 57, 55, 48, 42, 37, 48, 53,
  61, 59, 51, 44, 39, 50, 57, 61, 61, 54, 48, 40,  2,  1,  1,  3,  3,  1,  3,
   2,  1,  1,  2,  2,  0,  3,  2,  2,  1,  1,  2,  2,  4,  2,  3,  3,  3,  4,
   4,  5,  5,  6,  6,  6,  7,  6,  5, 10, 10,  9,  9,  8,  6,  5, 16, 14, 11,
   9,  8,  6,  5,  2,  2,  1,  1,  2,  4,  6,  2,  2,  1,  1,  2,  3,  5,  4,
   2,  1,  2,  3,  4,  6,  9,  3,  4,  4,  6,  5,  7, 11,  7,  7,  8,  9,  5,
   7, 14, 11, 11, 11, 11,  9,  7, 19, 16, 13, 11, 12, 11,  7,  5,  2,  4,  6,
   7,  7,  9,  9,  2,  4,  7,  7,  6,  8, 13,  2,  5,  9,  9,  6, 10, 15,  5,
   8, 12, 12, 12, 12, 18,  9, 11, 16, 16, 15, 12, 21, 14, 16, 19, 18, 17, 12,
  23, 20, 18, 20, 19, 18, 16, 13,  7, 11, 12, 13, 11, 14, 16,  8, 12, 14, 15,
  14, 13, 19, 10, 13, 16, 17, 18, 15, 21, 14, 17, 20, 20, 20, 16, 22, 19, 21,
  24, 24, 24, 20, 21, 24, 26, 27, 26, 26, 23, 22, 30, 29, 28, 28, 27, 26, 20,
  19, 20, 20, 22, 21, 14, 23, 20, 22, 23, 23, 21, 13, 23, 22, 24, 25, 26, 24,
  19, 24, 26, 28, 29, 29, 28, 23, 25, 31, 34, 33, 34, 32, 25, 28, 36, 39, 37,
  36, 33, 28, 30, 39, 41, 39, 38, 34, 30, 29, 32, 31, 31, 28, 23, 19, 28, 33,
  33, 32, 29, 24, 20, 28, 37, 35, 37, 32, 28, 24, 28, 37, 41, 40, 37, 33, 28,
  31, 39, 46, 43, 40, 35, 29, 37, 43, 51, 48, 42, 36, 31, 39, 46, 51, 51, 44,
  39, 33, 39, 44, 42, 36, 30, 26, 22, 39, 44, 45, 38, 32, 28, 24, 39, 44, 47,
  41, 35, 31, 27, 38, 47, 51, 45, 40, 35, 31, 41, 48, 54, 51, 44, 39, 33, 46,
  51, 56, 57, 47, 40, 35, 47, 53, 58, 58, 49, 43, 37,  1,  1,  3,  6,  6,  4,
   2,  1,  1,  3,  5,  5,  3,  0,  2,  1,  2,  3,  4,  3,  2,  2,  2,  2,  3,
   5,  5,  4,  4,  5,  5,  6,  8,  6,  4,  9,  8,  8,  8,  8,  6,  4, 14, 12,
  10,  8,  9,  6,  4,  2,  1,  2,  4,  3,  3,  5,  2,  1,  1,  3,  3,  2,  3,
   2,  1,  1,  1,  1,  2,  4,  3,  3,  3,  3,  3,  3,  4,  8,  6,  6,  6,  6,
   4,  4, 12, 10, 10,  9,  7,  6,  5, 18, 14, 11, 10,  8,  7,  5,  2,  1,  3,
   4,  5,  6,  8,  4,  2,  3,  5,  5,  5,  6,  9,  2,  4,  6,  6,  4,  6, 12,
   3,  7,  9,  9,  9,  8, 16,  8, 10, 12, 13, 12,  8, 18, 13, 14, 15, 14, 13,
   8, 20, 18, 16, 17, 16, 15, 13,  8,  6,  9, 10, 11,  9, 11, 13,  7, 10, 11,
  12, 12, 11, 15,  8, 11, 13, 13, 13, 11, 17, 11, 15, 16, 16, 16, 13, 19, 16,
  19, 21, 21, 20, 16, 18, 21, 23, 24, 23, 22, 19, 20, 27, 26, 25, 24, 23, 21,
  17, 17, 18, 18, 19, 18, 12, 21, 18, 19, 19, 20, 18, 11, 20, 20, 21, 22, 22,
  21, 15, 20, 24, 25, 25, 26, 24, 19, 22, 28, 29, 29, 30, 28, 22, 24, 33, 36,
  35, 32, 29, 24, 28, 36, 39, 36, 35, 31, 26, 27, 29, 27, 27, 24, 21, 17, 26,
  32, 30, 29, 25, 21, 16, 26, 33, 33, 31, 27, 23, 20, 25, 36, 36, 34, 32, 28,
  23, 29, 37, 42, 41, 34, 31, 26, 32, 40, 46, 44, 38, 33, 27, 37, 41, 47, 46,
  40, 34, 29, 36, 41, 39, 32, 27, 24, 19, 36, 41, 41, 35, 29, 24, 20, 35, 40,
  44, 37, 32, 27, 24, 36, 43, 47, 42, 37, 32, 27, 38, 44, 50, 47, 40, 34, 29,
  41, 47, 52, 49, 42, 37, 31, 43, 49, 52, 52, 46, 39, 33,  2,  2,  3,  3,  3,
   2,  2,  1,  2,  3,  3,  3,  2,  2,  0,  2,  2,  3,  2,  2,  1,  1,  1,  1,
   2,  2,  2,  3,  3,  3,  3,  4,  4,  3,  3,  7,  7,  7,  6,  5,  3,  3, 13,
  11,  9,  7,  5,  3,  3,  0,  2,  2,  3,  2,  2,  2,  1,  2,  2,  3,  2,  2,
   1,  2,  1,  2,  2,  2,  2,  1,  2,  1,  2,  2,  2,  2,  3,  4,  4,  4,  4,
   4,  3,  4,  9,  8,  8,  7,  5,  4,  4, 16, 13, 10,  8,  6,  4,  3,  2,  1,
   2,  2,  2,  1,  4,  2,  1,  1,  1,  1,  1,  4,  2,  1,  1,  0,  0,  1,  5,
   3,  2,  3,  3,  3,  3,  6,  7,  6,  6,  6,  7,  6,  6, 12, 11, 11, 10,  8,
   7,  6, 19, 17, 13, 12, 10,  9,  8,  2,  4,  4,  5,  5,  5,  8,  3,  5,  5,
   6,  6,  6,  8,  7,  6,  6,  7,  7,  7,  8, 10,  9, 10, 10, 10, 11, 10, 10,
  14, 14, 14, 14, 13, 13, 13, 19, 19, 18, 16, 15, 14, 18, 25, 22, 20, 18, 16,
  16, 12, 12, 12, 12, 12, 12,  8, 14, 14, 14, 13, 14, 13,  8, 14, 16, 15, 15,
  15, 14, 11, 14, 19, 19, 19, 19, 18, 14, 17, 23, 23, 23, 23, 20, 16, 21, 27,
  28, 27, 26, 23, 18, 25, 31, 32, 29, 28, 25, 20, 21, 23, 22, 21, 18, 14, 10,
  21, 25, 23, 23, 20, 16, 11, 21, 27, 26, 25, 22, 18, 14, 21, 27, 30, 29, 25,
  21, 18, 24, 30, 34, 34, 30, 25, 19, 27, 33, 39, 37, 32, 26, 21, 30, 36, 40,
  40, 35, 28, 23, 29, 34, 33, 27, 22, 17, 13, 29, 35, 37, 29, 23, 19, 14, 29,
  35, 39, 32, 25, 22, 17, 30, 35, 42, 35, 30, 25, 21, 31, 37, 44, 40, 35, 29,
  23, 33, 41, 46, 46, 36, 31, 25, 36, 43, 47, 46, 39, 32, 26,  1,  2,  2,  2,
   2,  2,  1,  2,  1,  2,  3,  2,  2,  1,  2,  0,  2,  2,  2,  2,  2,  2,  2,
   2,  2,  2,  3,  4,  4,  4,  4,  4,  5,  4,  4,  8,  8,  8,  7,  5,  4,  4,
  14, 12,  9,  8,  6,  4,  4,  2,  0,  2,  2,  2,  2,  2,  2,  1,  2,  2,  2,
   1,  2,  2,  2,  1,  2,  2,  1,  4,  2,  2,  2,  3,  2,  3,  5,  6,  5,  5,
   5,  5,  4,  5, 11, 10,  9,  8,  6,  5,  5, 18, 15, 11,  9,  7,  5,  5,  2,
   2,  1,  2,  1,  3,  6,  2,  2,  2,  2,  2,  4,  6,  4,  2,  3,  3,  4,  4,
   7,  7,  3,  6,  6,  6,  7,  9, 11,  7,  9, 10, 10, 10,  8, 15, 12, 14, 13,
  12, 11,  8, 20, 18, 17, 15, 14, 12, 11,  4,  6,  7,  7,  8,  7, 10,  8,  7,
   8,  8,  9,  9, 10, 11,  8, 10, 10, 11, 11, 11, 14, 10, 14, 14, 14, 14, 13,
  14, 16, 18, 18, 18, 17, 16, 15, 21, 22, 21, 20, 18, 18, 20, 28, 26, 24, 22,
  20, 19, 14, 15, 15, 15, 16, 15, 10, 17, 17, 16, 16, 17, 15, 10, 16, 18, 19,
  19, 19, 18, 14, 17, 22, 23, 23, 23, 21, 18, 19, 27, 27, 27, 27, 24, 20, 24,
  31, 34, 32, 29, 27, 21, 28, 34, 36, 33, 31, 28, 23, 24, 26, 24, 24, 21, 17,
  13, 24, 29, 27, 26, 23, 18, 14, 24, 30, 29, 28, 25, 21, 17, 24, 31, 34, 32,
  29, 25, 22, 29, 35, 38, 37, 34, 29, 23, 32, 37, 44, 42, 36, 31, 25, 34, 40,
  45, 44, 39, 33, 26, 33, 38, 37, 30, 24, 20, 16, 32, 39, 40, 32, 26, 21, 18,
  32, 38, 42, 35, 30, 25, 21, 33, 40, 46, 39, 33, 28, 24, 34, 41, 48, 43, 38,
  32, 27, 37, 43, 49, 49, 41, 35, 28, 40, 46, 49, 50, 44, 36, 30,  2,  1,  1,
   2,  2,  1,  1,  2,  1,  1,  2,  2,  1,  2,  2,  2,  0,  2,  1,  2,  3,  2,
   3,  2,  3,  3,  4,  5,  5,  5,  6,  5,  6,  5,  5, 10,  9,  9,  8,  6,  5,
   5, 16, 14, 11,  8,  7,  5,  4,  2,  2,  1,  2,  1,  2,  5,  2,  2,  1,  1,
   1,  2,  5,  3,  2,  1,  1,  1,  3,  6,  4,  3,  3,  3,  4,  4,  7,  8,  6,
   7,  7,  7,  5,  7, 12, 11, 10, 10,  9,  7,  7, 19, 16, 13, 11, 10,  9,  7,
   2,  2,  4,  4,  5,  6,  8,  4,  2,  4,  5,  5,  6,  8,  8,  2,  5,  7,  7,
   6,  9, 11,  4,  8, 10, 10, 10, 11, 14,  8, 11, 14, 14, 14, 11, 18, 14, 16,
  17, 16, 15, 11, 21, 20, 18, 19, 18, 16, 14,  8,  7, 10, 11, 11,  9, 12, 11,
   8, 11, 11, 12, 12, 12, 14,  8, 12, 14, 14, 15, 14, 17, 12, 17, 18, 18, 17,
  15, 18, 17, 21, 21, 22, 21, 19, 18, 23, 26, 25, 24, 23, 21, 22, 30, 29, 27,
  26, 24, 23, 17, 18, 18, 18, 19, 18, 12, 19, 19, 19, 20, 20, 19, 12, 20, 20,
  21, 23, 23, 22, 17, 20, 25, 27, 26, 27, 26, 21, 22, 30, 32, 31, 31, 29, 23,
  26, 35, 37, 35, 33, 30, 25, 30, 37, 40, 37, 36, 32, 27, 28, 29, 28, 28, 25,
  20, 17, 27, 32, 31, 30, 26, 22, 18, 27, 34, 34, 34, 29, 25, 21, 27, 35, 38,
  37, 34, 30, 25, 31, 38, 43, 41, 38, 33, 27, 34, 41, 49, 47, 39, 33, 29, 38,
  44, 49, 49, 43, 36, 30, 36, 43, 41, 34, 28, 24, 20, 37, 43, 44, 36, 30, 25,
  21, 36, 43, 46, 38, 34, 29, 24, 37, 44, 49, 44, 38, 34, 29, 40, 46, 53, 49,
  42, 36, 30, 42, 49, 55, 54, 45, 38, 33, 45, 51, 55, 55, 48, 41, 34,  2,  2,
   1,  2,  2,  2,  4,  2,  2,  1,  2,  2,  1,  3,  3,  2,  2,  0,  1,  2,  4,
   3,  3,  3,  3,  2,  3,  5,  6,  6,  6,  6,  5,  4,  5, 10, 10,  9,  8,  6,
   4,  5, 16, 14, 11,  9,  7,  4,  5,  2,  2,  1,  2,  3,  5,  7,  3,  2,  2,
   2,  3,  4,  6,  4,  2,  2,  2,  3,  5,  7,  7,  3,  4,  4,  6,  6,  8, 10,
   7,  7,  8,  9,  6,  8, 14, 11, 11, 10, 11, 10,  8, 19, 16, 13, 11, 13, 11,
   8,  4,  2,  5,  7,  8,  9, 11,  8,  3,  4,  7,  8,  8, 10, 11,  3,  5,  9,
  10,  8, 11, 14,  5,  8, 12, 13, 13, 13, 18,  9, 12, 16, 17, 16, 13, 21, 14,
  16, 19, 19, 18, 13, 22, 20, 18, 21, 20, 19, 17, 11,  8, 12, 14, 14, 12, 16,
  15,  8, 13, 14, 15, 16, 15, 18, 10, 14, 17, 18, 17, 16, 20, 14, 18, 20, 21,
  21, 18, 21, 19, 23, 24, 25, 24, 21, 21, 24, 27, 28, 27, 27, 24, 23, 30, 31,
  29, 29, 27, 27, 20, 19, 21, 22, 23, 22, 16, 23, 21, 23, 23, 24, 22, 15, 23,
  23, 24, 26, 26, 25, 20, 23, 27, 29, 30, 31, 29, 25, 25, 32, 33, 34, 34, 32,
  27, 27, 36, 39, 38, 36, 34, 29, 31, 39, 43, 41, 39, 37, 30, 30, 33, 33, 32,
  29, 25, 20, 29, 34, 34, 34, 30, 25, 21, 29, 37, 37, 37, 33, 28, 25, 30, 39,
  41, 40, 37, 33, 29, 33, 42, 47, 45, 41, 38, 30, 36, 44, 51, 49, 44, 38, 33,
  40, 47, 52, 53, 46, 38, 34, 41, 46, 44, 37, 32, 28, 23, 40, 45, 46, 40, 33,
  29, 25, 40, 46, 49, 42, 37, 33, 28, 40, 47, 53, 47, 41, 36, 32, 43, 50, 55,
  52, 46, 40, 35, 45, 52, 57, 56, 49, 43, 36, 48, 54, 57, 58, 52, 44, 38,  2,
   1,  2,  2,  2,  4,  5,  2,  2,  2,  2,  2,  2,  4,  3,  2,  2,  1,  0,  2,
   5,  3,  3,  3,  2,  2,  3,  6,  7,  6,  6,  5,  5,  4,  6, 11,  9,  9,  8,
   6,  4,  6, 16, 13, 10,  8,  7,  4,  6,  3,  2,  2,  3,  4,  7,  9,  3,  2,
   2,  3,  4,  6,  8,  5,  2,  2,  2,  4,  5,  8,  9,  4,  4,  4,  7,  6,  9,
  13,  7,  7,  7, 10,  6,  9, 16, 11, 11, 10, 12, 11,  9, 20, 16, 12, 11, 13,
  12,  9,  5,  2,  5,  9,  9, 10, 13,  9,  3,  5,  9, 10,  9, 11, 13,  3,  5,
  10, 11,  8, 11, 15,  6,  8, 13, 14, 14, 14, 20, 11, 12, 16, 18, 18, 13, 23,
  15, 16, 19, 20, 18, 14, 23, 19, 18, 20, 21, 20, 18, 13,  8, 13, 15, 16, 14,
  18, 16,  9, 14, 16, 17, 17, 17, 19, 11, 14, 18, 18, 19, 17, 23, 15, 18, 21,
  22, 22, 19, 24, 20, 23, 25, 26, 25, 22, 24, 24, 27, 28, 28, 28, 25, 23, 30,
  31, 30, 30, 29, 27, 21, 20, 23, 23, 25, 24, 18, 25, 22, 24, 25, 26, 24, 17,
  24, 24, 27, 28, 28, 26, 21, 24, 28, 30, 31, 31, 29, 26, 26, 32, 35, 36, 36,
  33, 28, 28, 37, 40, 39, 39, 35, 29, 30, 40, 45, 42, 40, 37, 32, 31, 34, 33,
  34, 31, 27, 22, 31, 36, 35, 36, 32, 28, 23, 30, 38, 38, 38, 34, 30, 26, 30,
  41, 42, 42, 39, 33, 29, 34, 43, 48, 47, 42, 37, 31, 36, 45, 53, 51, 44, 40,
  34, 41, 47, 53, 54, 47, 40, 35, 41, 47, 45, 39, 34, 30, 26, 41, 47, 47, 41,
  35, 30, 26, 42, 48, 50, 44, 37, 34, 30, 42, 48, 54, 47, 42, 38, 33, 43, 51,
  56, 52, 47, 40, 35, 47, 53, 59, 57, 49, 42, 37, 50, 55, 59, 59, 52, 46, 39,
   1,  2,  2,  4,  4,  3,  4,  2,  1,  2,  4,  4,  2,  3,  2,  2,  2,  2,  3,
   0,  3,  2,  2,  1,  1,  2,  2,  3,  4,  4,  4,  4,  5,  4,  4,  8,  8,  7,
   7,  6,  4,  4, 13, 11,  9,  7,  6,  4,  4,  2,  1,  2,  3,  4,  6,  7,  2,
   1,  2,  3,  4,  5,  6,  3,  2,  1,  1,  2,  3,  5,  6,  3,  2,  3,  4,  4,
   6, 10,  5,  5,  6,  7,  4,  6, 12,  9,  9,  8,  9,  7,  6, 17, 14, 10,  9,
  10,  9,  6,  2,  2,  5,  7,  8,  9, 11,  7,  2,  4,  8,  8,  8,  9, 11,  2,
   4,  7,  8,  6,  8, 14,  4,  7, 10, 10, 11, 10, 17,  8, 10, 14, 15, 14, 10,
  19, 12, 14, 16, 16, 15, 10, 20, 17, 15, 17, 18, 17, 15, 11,  7, 12, 14, 14,
  12, 15, 14,  8, 12, 15, 16, 15, 15, 17,  9, 12, 15, 16, 16, 14, 19, 12, 16,
  18, 19, 18, 15, 21, 17, 20, 22, 23, 22, 18, 20, 22, 24, 25, 25, 23, 22, 20,
  26, 26, 27, 26, 25, 24, 18, 18, 21, 22, 23, 22, 16, 21, 20, 22, 23, 24, 23,
  15, 22, 21, 24, 25, 24, 23, 18, 22, 26, 26, 28, 28, 27, 23, 23, 30, 31, 32,
  33, 29, 24, 26, 34, 38, 36, 34, 31, 26, 27, 36, 39, 37, 37, 34, 27, 28, 31,
  32, 32, 29, 25, 20, 29, 33, 33, 33, 29, 25, 21, 27, 36, 35, 34, 30, 27, 23,
  28, 38, 39, 37, 34, 29, 26, 31, 39, 43, 42, 38, 32, 28, 34, 41, 48, 46, 41,
  34, 30, 37, 44, 49, 49, 42, 37, 31, 39, 44, 42, 36, 31, 27, 23, 39, 45, 45,
  38, 33, 28, 23, 39, 45, 47, 40, 34, 30, 26, 40, 45, 52, 44, 38, 34, 30, 41,
  47, 52, 49, 42, 37, 33, 43, 48, 55, 53, 45, 39, 33, 46, 51, 56, 55, 48, 40,
  35,  2,  3,  5,  6,  6,  5,  4,  1,  2,  4,  6,  6,  4,  2,  1,  2,  3,  4,
   5,  3,  0,  1,  1,  1,  3,  4,  3,  2,  3,  3,  3,  4,  6,  4,  2,  7,  6,
   6,  6,  6,  4,  2, 11,  9,  7,  6,  6,  4,  2,  1,  2,  3,  5,  4,  5,  6,
   1,  2,  3,  4,  4,  4,  5,  2,  1,  2,  3,  2,  2,  3,  2,  1,  1,  1,  1,
   2,  4,  5,  4,  4,  4,  3,  2,  3,  9,  8,  7,  7,  5,  4,  4, 14, 11,  8,
   7,  7,  6,  4,  2,  1,  5,  5,  6,  8,  9,  2,  1,  4,  6,  6,  6,  8,  5,
   1,  4,  6,  6,  5,  6, 10,  2,  5,  7,  7,  7,  7, 13,  6,  8, 10, 11, 10,
   7, 15, 11, 11, 13, 13, 11,  7, 16, 14, 13, 14, 14, 13, 12,  6,  6, 11, 11,
  12, 11, 13, 11,  7, 11, 12, 13, 13, 12, 13,  7, 11, 13, 13, 13, 11, 16, 10,
  14, 15, 14, 15, 12, 17, 15, 17, 19, 19, 18, 15, 16, 19, 20, 21, 21, 20, 18,
  16, 22, 23, 23, 23, 21, 20, 15, 17, 18, 19, 20, 19, 13, 18, 18, 20, 20, 21,
  20, 12, 18, 19, 21, 21, 21, 19, 15, 18, 22, 24, 24, 24, 22, 18, 20, 27, 28,
  28, 28, 26, 20, 21, 30, 33, 31, 29, 28, 22, 24, 33, 34, 33, 32, 28, 24, 27,
  30, 29, 29, 26, 22, 17, 26, 31, 30, 31, 27, 22, 18, 26, 34, 33, 31, 27, 23,
  19, 26, 34, 35, 33, 31, 27, 22, 28, 36, 40, 38, 34, 29, 24, 31, 37, 43, 42,
  36, 30, 26, 33, 39, 45, 44, 39, 33, 27, 37, 41, 39, 34, 29, 25, 21, 36, 41,
  42, 36, 30, 25, 21, 37, 41, 45, 37, 31, 26, 22, 36, 42, 46, 41, 35, 31, 26,
  37, 43, 48, 44, 38, 31, 28, 39, 45, 50, 48, 41, 34, 29, 41, 46, 51, 51, 45,
  36, 29,  2,  2,  3,  4,  4,  3,  2,  2,  2,  3,  4,  4,  3,  2,  1,  2,  2,
   3,  3,  2,  1,  0,  2,  2,  2,  3,  2,  3,  3,  3,  3,  3,  4,  3,  3,  7,
   6,  7,  6,  4,  3,  3, 12, 11,  8,  7,  5,  3,  3,  1,  2,  3,  3,  2,  2,
   2,  0,  2,  2,  3,  2,  2,  1,  1,  2,  2,  2,  2,  2,  1,  2,  1,  2,  2,
   2,  1,  3,  4,  3,  4,  4,  4,  3,  3,  9,  8,  8,  7,  5,  3,  3, 16, 13,
  10,  8,  6,  4,  3,  1,  2,  2,  2,  2,  2,  3,  2,  1,  1,  2,  2,  2,  3,
   2,  0,  1,  1,  1,  1,  3,  2,  2,  2,  2,  2,  2,  5,  6,  5,  5,  5,  5,
   4,  5, 12, 10, 10,  9,  7,  6,  5, 18, 17, 13, 10,  9,  7,  6,  2,  3,  3,
   4,  4,  4,  7,  2,  4,  4,  5,  5,  5,  8,  5,  5,  5,  6,  6,  6,  7,  8,
   8,  8,  9,  9,  9,  9,  9, 13, 13, 12, 13, 12, 11, 12, 19, 17, 16, 15, 14,
  13, 18, 24, 21, 18, 17, 15, 15, 11, 11, 11, 11, 11, 11,  8, 13, 13, 12, 13,
  13, 12,  8, 12, 15, 15, 14, 14, 13, 10, 13, 18, 18, 17, 18, 16, 13, 16, 23,
  22, 22, 22, 20, 15, 20, 26, 28, 26, 25, 21, 17, 24, 29, 30, 27, 27, 23, 18,
  20, 23, 21, 21, 17, 13, 10, 21, 24, 23, 22, 19, 15, 10, 21, 25, 26, 24, 21,
  17, 12, 21, 27, 28, 27, 25, 20, 17, 23, 29, 33, 33, 29, 23, 19, 25, 32, 38,
  36, 30, 26, 20, 29, 35, 39, 39, 34, 27, 21, 28, 34, 33, 25, 21, 17, 12, 28,
  34, 34, 29, 22, 17, 13, 28, 34, 38, 30, 25, 20, 16, 29, 34, 40, 33, 29, 24,
  20, 30, 37, 42, 38, 33, 26, 22, 33, 39, 44, 43, 36, 29, 24, 35, 41, 44, 44,
  38, 32, 26,  1,  2,  3,  4,  4,  3,  3,  2,  2,  3,  4,  4,  3,  2,  1,  2,
   3,  3,  3,  2,  1,  2,  0,  2,  2,  2,  2,  3,  3,  3,  3,  3,  3,  3,  3,
   7,  6,  6,  6,  4,  3,  3, 13, 11,  8,  6,  5,  3,  3,  2,  2,  3,  3,  3,
   3,  3,  2,  1,  2,  3,  3,  2,  3,  2,  1,  2,  2,  2,  1,  1,  2,  1,  1,
   2,  1,  1,  3,  4,  4,  4,  4,  4,  3,  3,  9,  8,  8,  7,  5,  3,  3, 16,
  13, 10,  7,  5,  4,  3,  2,  1,  2,  2,  3,  4,  6,  2,  2,  2,  3,  3,  4,
   6,  2,  2,  2,  2,  3,  3,  6,  5,  2,  4,  4,  4,  5,  7,  8,  6,  8,  8,
   8,  7,  6, 13, 11, 12, 11, 10,  9,  7, 19, 16, 15, 13, 11, 10,  9,  2,  6,
   7,  8,  8,  7, 10,  5,  6,  8,  8,  9,  9, 10,  9,  7,  8,  9,  9,  9, 10,
  12,  9, 12, 12, 12, 12, 11, 12, 14, 15, 15, 16, 15, 14, 13, 20, 20, 19, 18,
  16, 15, 18, 26, 24, 21, 19, 18, 18, 13, 14, 15, 15, 16, 15, 10, 14, 16, 15,
  16, 17, 16, 10, 15, 18, 17, 17, 17, 16, 12, 15, 21, 21, 21, 21, 19, 16, 18,
  25, 25, 25, 25, 22, 17, 21, 28, 30, 28, 26, 24, 19, 25, 32, 34, 31, 30, 26,
  21, 24, 24, 25, 25, 21, 17, 13, 23, 27, 26, 25, 23, 18, 14, 23, 29, 28, 27,
  23, 19, 15, 23, 30, 31, 31, 27, 23, 19, 26, 32, 36, 35, 31, 26, 21, 29, 35,
  41, 41, 34, 28, 23, 31, 38, 42, 43, 35, 30, 24, 32, 38, 36, 30, 25, 20, 16,
  31, 38, 39, 32, 26, 21, 17, 31, 38, 41, 33, 27, 23, 19, 32, 37, 44, 36, 31,
  26, 23, 34, 39, 45, 42, 36, 30, 25, 35, 41, 47, 46, 39, 33, 26, 38, 44, 48,
  49, 42, 34, 29,  1,  2,  3,  4,  4,  4,  3,  2,  2,  3,  4,  4,  3,  2,  1,
   2,  2,  3,  3,  1,  1,  2,  2,  0,  2,  2,  2,  3,  4,  3,  3,  3,  3,  3,
   3,  7,  7,  7,  6,  4,  3,  3, 13, 11,  8,  6,  5,  3,  3,  2,  2,  2,  3,
   4,  4,  6,  2,  2,  2,  3,  3,  3,  5,  2,  1,  2,  2,  2,  2,  4,  2,  2,
   2,  1,  1,  2,  5,  5,  5,  4,  4,  4,  3,  5, 10,  9,  8,  7,  6,  4,  5,
  17, 14, 10,  8,  7,  6,  5,  2,  2,  4,  5,  5,  7,  9,  2,  2,  4,  5,  6,
   7,  8,  5,  2,  4,  5,  5,  6,  7,  8,  3,  6,  7,  7,  7,  9, 12,  6,  9,
  10, 11, 10,  9, 15, 11, 13, 14, 13, 12,  9, 19, 17, 16, 16, 14, 13, 12,  4,
   7, 10, 11, 12, 10, 13,  9,  7, 11, 12, 12, 12, 13, 12,  8, 11, 12, 12, 12,
  12, 14, 10, 14, 15, 15, 15, 13, 16, 15, 18, 18, 20, 18, 16, 15, 21, 23, 22,
  21, 20, 19, 19, 27, 26, 24, 22, 21, 20, 15, 17, 18, 19, 19, 18, 13, 17, 18,
  19, 20, 21, 19, 13, 18, 20, 21, 21, 20, 19, 15, 17, 24, 24, 24, 24, 23, 18,
  20, 27, 28, 29, 28, 26, 21, 23, 32, 34, 32, 30, 27, 22, 27, 35, 37, 35, 32,
  29, 23, 26, 29, 28, 28, 25, 21, 17, 27, 31, 30, 30, 26, 21, 17, 27, 33, 33,
  31, 27, 22, 19, 27, 34, 36, 34, 31, 26, 22, 28, 36, 41, 40, 36, 28, 24, 33,
  38, 45, 43, 37, 32, 26, 35, 41, 45, 45, 40, 34, 28, 35, 41, 40, 33, 29, 24,
  20, 35, 42, 43, 35, 29, 25, 20, 36, 41, 45, 37, 31, 26, 22, 36, 41, 47, 40,
  35, 30, 25, 37, 43, 48, 46, 40, 33, 27, 39, 44, 51, 51, 42, 35, 30, 43, 47,
  52, 52, 46, 38, 31,  2,  2,  3,  5,  5,  4,  5,  2,  2,  3,  4,  4,  3,  3,
   2,  2,  3,  3,  2,  1,  3,  2,  2,  2,  0,  2,  1,  3,  4,  4,  3,  3,  3,
   2,  3,  8,  7,  7,  6,  4,  2,  4, 13, 11,  8,  6,  5,  2,  3,  2,  2,  3,
   3,  5,  6,  8,  2,  2,  2,  3,  4,  5,  7,  2,  2,  2,  2,  3,  4,  6,  4,
   2,  2,  2,  3,  4,  6,  8,  5,  5,  5,  6,  4,  7, 11,  9,  9,  8,  8,  7,
   7, 17, 13, 10,  8, 10,  8,  7,  2,  2,  5,  7,  8, 10, 12,  4,  2,  5,  8,
   9,  9, 11,  8,  2,  5,  8,  8,  7,  9, 11,  3,  6, 10, 10, 10, 10, 15,  7,
   9, 13, 14, 13, 11, 18, 12, 13, 16, 15, 15, 11, 19, 17, 16, 17, 17, 16, 15,
   8,  8, 12, 14, 15, 13, 16, 12,  8, 13, 14, 16, 15, 15, 15,  8, 13, 15, 16,
  15, 15, 17, 12, 16, 17, 18, 18, 16, 19, 16, 20, 22, 22, 22, 18, 18, 22, 24,
  25, 24, 23, 22, 19, 26, 27, 26, 26, 24, 24, 17, 19, 21, 21, 23, 22, 16, 20,
  20, 22, 24, 24, 23, 16, 20, 22, 23, 24, 24, 22, 18, 20, 25, 27, 27, 27, 26,
  22, 22, 30, 31, 32, 31, 29, 24, 25, 34, 36, 36, 34, 30, 26, 29, 37, 40, 37,
  36, 33, 27, 28, 32, 32, 31, 29, 25, 20, 28, 34, 33, 33, 29, 25, 21, 28, 36,
  36, 35, 30, 25, 22, 29, 37, 39, 37, 33, 30, 25, 31, 39, 44, 43, 38, 33, 27,
  34, 41, 49, 46, 41, 35, 29, 39, 43, 49, 49, 42, 37, 31, 39, 46, 43, 37, 31,
  27, 23, 39, 45, 46, 39, 33, 28, 23, 39, 46, 49, 41, 34, 29, 25, 39, 45, 50,
  44, 37, 34, 29, 40, 47, 52, 49, 42, 37, 31, 43, 49, 54, 53, 46, 39, 32, 45,
  51, 54, 55, 49, 42, 34,  2,  3,  3,  4,  4,  6,  7,  2,  2,  3,  4,  3,  4,
   5,  2,  2,  3,  2,  2,  2,  4,  3,  2,  2,  2,  0,  2,  5,  5,  4,  4,  3,
   3,  3,  5,  9,  8,  7,  6,  4,  3,  5, 13, 10,  8,  6,  5,  3,  5,  2,  2,
   3,  4,  6,  9, 10,  3,  2,  3,  4,  6,  7,  9,  3,  2,  2,  3,  4,  6,  8,
   6,  3,  2,  2,  5,  5,  8, 10,  5,  5,  5,  8,  6,  8, 13,  9,  8,  8, 10,
   9,  8, 16, 13,  9,  8, 11, 11,  8,  3,  2,  6,  9, 11, 12, 14,  7,  2,  6,
  10, 11, 11, 13, 10,  3,  5,  9, 11, 10, 12, 13,  4,  7, 11, 12, 13, 12, 18,
   9, 10, 14, 16, 15, 13, 21, 12, 13, 17, 18, 17, 12, 20, 16, 15, 18, 19, 19,
  17, 10,  8, 14, 16, 17, 15, 18, 13,  8, 14, 17, 18, 18, 18, 16, 10, 14, 17,
  19, 19, 17, 20, 13, 17, 20, 21, 21, 18, 21, 18, 21, 23, 25, 24, 21, 21, 22,
  25, 26, 27, 25, 24, 20, 26, 27, 28, 28, 27, 26, 19, 20, 23, 25, 26, 25, 19,
  22, 22, 25, 26, 27, 25, 18, 23, 23, 26, 27, 27, 26, 21, 22, 26, 29, 30, 31,
  29, 24, 24, 31, 34, 34, 34, 31, 27, 26, 34, 38, 37, 36, 34, 28, 28, 36, 41,
  38, 38, 35, 30, 31, 35, 35, 35, 31, 28, 23, 31, 37, 36, 36, 33, 28, 24, 30,
  39, 38, 37, 33, 29, 25, 31, 38, 41, 40, 36, 32, 28, 32, 41, 46, 44, 40, 35,
  29, 35, 43, 52, 49, 42, 37, 32, 37, 45, 51, 51, 45, 39, 33, 40, 48, 45, 39,
  34, 31, 26, 42, 48, 48, 41, 36, 30, 26, 42, 48, 50, 43, 37, 32, 28, 41, 48,
  53, 46, 39, 35, 31, 43, 49, 54, 52, 45, 39, 33, 44, 52, 57, 56, 47, 42, 36,
  46, 53, 57, 58, 50, 43, 37,  3,  4,  4,  5,  5,  6,  7,  2,  3,  4,  5,  5,
   4,  5,  2,  3,  4,  3,  3,  2,  3,  2,  2,  2,  2,  2,  0,  3,  3,  2,  2,
   2,  3,  2,  3,  6,  5,  5,  4,  3,  2,  3,  9,  7,  5,  4,  3,  2,  3,  2,
   3,  4,  5,  6,  8,  9,  2,  3,  3,  5,  6,  6,  7,  2,  2,  3,  3,  4,  5,
   6,  4,  2,  1,  1,  3,  3,  5,  8,  3,  3,  4,  5,  3,  5, 10,  6,  6,  5,
   7,  6,  5, 12,  9,  6,  5,  8,  7,  5,  2,  2,  6,  8,  9, 11, 12,  5,  2,
   5,  9,  9,  9, 11,  9,  2,  5,  8,  9,  8, 10, 13,  2,  5,  8,  9,  9,  9,
  15,  6,  8, 11, 12, 12,  9, 16,  8, 10, 13, 14, 13,  9, 15, 12, 11, 15, 15,
  15, 13,  9,  7, 13, 15, 15, 14, 17, 14,  8, 13, 15, 16, 16, 16, 16,  8, 13,
  15, 16, 16, 15, 18, 10, 14, 17, 17, 17, 14, 19, 15, 18, 20, 20, 20, 17, 16,
  18, 21, 22, 22, 22, 20, 15, 21, 22, 24, 24, 23, 22, 17, 19, 22, 23, 24, 23,
  16, 20, 20, 23, 24, 25, 23, 16, 20, 21, 24, 25, 24, 23, 19, 20, 24, 25, 26,
  27, 25, 21, 21, 29, 30, 29, 30, 28, 23, 22, 30, 33, 33, 31, 29, 24, 22, 31,
  36, 35, 33, 31, 26, 28, 32, 32, 32, 30, 26, 21, 28, 34, 34, 34, 30, 25, 21,
  29, 36, 35, 35, 31, 26, 22, 28, 36, 38, 36, 32, 28, 24, 29, 38, 44, 40, 36,
  32, 26, 32, 40, 46, 43, 38, 33, 28, 33, 42, 46, 46, 41, 35, 30, 39, 46, 44,
  37, 32, 28, 24, 40, 45, 46, 40, 33, 29, 24, 40, 46, 48, 40, 33, 29, 24, 40,
  45, 50, 43, 37, 33, 28, 40, 45, 51, 47, 40, 34, 29, 41, 47, 52, 51, 43, 37,
  31, 43, 48, 53, 53, 46, 39, 32,  4,  5,  6,  7,  8,  6,  7,  4,  4,  5,  7,
   7,  5,  4,  3,  4,  4,  5,  6,  3,  2,  3,  3,  3,  3,  5,  3,  0,  2,  1,
   1,  2,  4,  2,  0,  3,  2,  2,  2,  3,  2,  0,  5,  3,  2,  2,  3,  2,  0,
   4,  4,  5,  6,  7,  8,  8,  3,  4,  4,  5,  6,  6,  6,  2,  4,  4,  4,  4,
   4,  4,  2,  2,  2,  2,  2,  2,  3,  2,  1,  1,  2,  2,  1,  3,  4,  3,  2,
   2,  2,  2,  3,  8,  5,  3,  2,  4,  3,  3,  3,  4,  6,  7,  9, 10, 11,  2,
   3,  6,  8,  8,  8,  9,  5,  3,  6,  7,  7,  6,  8,  9,  2,  4,  7,  6,  7,
   6, 12,  3,  5,  7,  8,  8,  6, 13,  4,  6,  9,  9,  9,  6, 11,  8,  6,  9,
  10, 10, 10,  5,  7, 11, 12, 13, 13, 14, 10,  8, 12, 13, 14, 14, 13, 13,  8,
  12, 13, 14, 14, 12, 15,  8, 12, 14, 14, 14, 11, 15, 10, 13, 15, 16, 15, 14,
  13, 12, 15, 17, 17, 17, 16, 11, 15, 17, 18, 19, 18, 18, 15, 17, 20, 20, 21,
  21, 14, 18, 18, 21, 21, 21, 20, 13, 18, 20, 22, 22, 22, 20, 16, 18, 20, 22,
  22, 23, 21, 17, 16, 23, 26, 24, 24, 22, 18, 16, 24, 27, 28, 26, 24, 20, 17,
  25, 30, 28, 28, 26, 21, 27, 29, 30, 29, 26, 23, 18, 27, 32, 31, 31, 27, 22,
  18, 27, 33, 33, 32, 27, 23, 19, 27, 33, 35, 32, 29, 24, 19, 26, 33, 37, 35,
  31, 26, 22, 27, 34, 39, 37, 32, 28, 23, 27, 34, 40, 40, 35, 29, 24, 37, 42,
  41, 34, 29, 25, 21, 37, 42, 43, 35, 30, 25, 21, 37, 43, 44, 36, 31, 27, 22,
  37, 42, 46, 40, 32, 27, 23, 36, 41, 46, 41, 35, 28, 24, 36, 42, 46, 45, 37,
  31, 26, 36, 41, 46, 46, 39, 33, 27,  4,  5,  6,  8,  8,  6,  5,  4,  5,  6,
   7,  8,  6,  4,  3,  4,  5,  6,  7,  4,  3,  3,  3,  4,  4,  4,  3,  2,  0,
   2,  2,  2,  3,  2,  2,  4,  4,  4,  3,  3,  2,  2, 10,  8,  6,  4,  3,  2,
   2,  3,  4,  5,  6,  5,  5,  5,  3,  4,  5,  6,  6,  5,  4,  2,  4,  4,  5,
   4,  4,  3,  2,  2,  3,  3,  3,  2,  1,  2,  2,  2,  2,  2,  2,  1,  6,  5,
   6,  5,  2,  1,  1, 13, 11,  7,  5,  3,  1,  1,  2,  3,  4,  4,  5,  5,  5,
   2,  3,  4,  4,  5,  4,  5,  2,  2,  4,  3,  4,  4,  4,  2,  1,  1,  1,  1,
   1,  2,  3,  3,  2,  2,  3,  1,  2,  9,  8,  7,  6,  4,  3,  2, 15, 14, 10,
   7,  6,  4,  3,  2,  3,  5,  5,  6,  6,  8,  1,  4,  5,  6,  6,  6,  8,  3,
   5,  6,  6,  6,  6,  8,  6,  6,  6,  6,  6,  7,  7,  6, 10,  9, 10, 10,  9,
   8,  9, 15, 14, 13, 12, 11, 10, 15, 21, 18, 15, 14, 12, 12, 11, 11, 11, 12,
  13, 11,  8, 12, 13, 13, 13, 14, 12,  8, 12, 14, 14, 14, 15, 13,  9, 12, 16,
  15, 15, 15, 14, 10, 14, 19, 19, 19, 19, 17, 12, 17, 23, 24, 23, 21, 19, 13,
  21, 26, 28, 25, 23, 21, 15, 20, 22, 21, 22, 19, 14, 10, 20, 24, 23, 24, 20,
  16, 11, 20, 26, 25, 25, 21, 16, 12, 20, 25, 26, 25, 22, 18, 14, 20, 26, 30,
  29, 25, 20, 15, 22, 29, 36, 33, 28, 23, 17, 25, 31, 35, 36, 30, 25, 19, 28,
  35, 32, 26, 22, 17, 13, 28, 35, 36, 29, 24, 18, 14, 28, 34, 38, 30, 25, 19,
  14, 28, 35, 38, 31, 26, 21, 17, 26, 33, 38, 36, 30, 26, 19, 29, 36, 40, 39,
  33, 28, 20, 32, 37, 40, 40, 33, 29, 23,  4,  5,  6,  7,  7,  7,  6,  3,  5,
   6,  7,  7,  6,  5,  3,  4,  5,  6,  6,  4,  3,  3,  3,  3,  4,  4,  2,  1,
   2,  0,  1,  2,  3,  2,  2,  4,  4,  4,  3,  2,  2,  1, 10,  8,  5,  4,  2,
   2,  1,  3,  4,  5,  7,  7,  7,  6,  3,  4,  5,  6,  6,  5,  5,  2,  3,  5,
   5,  5,  4,  3,  2,  2,  2,  2,  2,  2,  0,  2,  2,  1,  2,  1,  1,  0,  7,
   6,  5,  4,  2,  1,  0, 13, 11,  7,  5,  3,  1,  0,  3,  3,  4,  5,  6,  7,
   8,  2,  3,  4,  5,  6,  6,  7,  2,  2,  4,  4,  4,  4,  6,  2,  2,  2,  2,
   3,  3,  5,  5,  3,  5,  5,  5,  4,  5, 10,  8,  9,  8,  7,  6,  5, 15, 13,
  12, 10,  8,  7,  6,  2,  6,  7,  8,  9,  9, 11,  2,  7,  8,  8,  9,  9, 10,
   6,  7,  8,  9,  9,  9, 10,  9,  7,  9,  9,  9,  9,  9,  9, 11, 12, 12, 13,
  12, 11, 10, 17, 17, 16, 14, 13, 13, 16, 23, 20, 18, 16, 15, 14, 13, 14, 14,
  15, 16, 15, 11, 13, 16, 16, 16, 17, 16, 11, 14, 17, 17, 17, 17, 16, 12, 14,
  18, 17, 18, 18, 16, 13, 15, 22, 22, 21, 22, 19, 14, 19, 26, 27, 26, 24, 21,
  16, 23, 30, 31, 28, 26, 23, 18, 23, 25, 24, 24, 22, 17, 13, 23, 27, 26, 25,
  23, 18, 14, 23, 29, 29, 26, 23, 18, 14, 23, 28, 29, 28, 24, 20, 16, 23, 29,
  33, 32, 28, 23, 18, 26, 32, 39, 37, 31, 25, 19, 29, 33, 38, 39, 34, 27, 21,
  31, 37, 37, 29, 24, 20, 16, 32, 38, 39, 31, 26, 21, 17, 31, 37, 41, 33, 27,
  21, 17, 31, 36, 43, 34, 28, 24, 20, 30, 37, 42, 40, 32, 26, 21, 31, 38, 44,
  44, 35, 29, 23, 35, 40, 46, 46, 39, 31, 24,  4,  5,  6,  8,  8,  7,  6,  4,
   5,  6,  7,  7,  6,  5,  3,  4,  5,  6,  6,  4,  3,  3,  3,  3,  3,  4,  2,
   1,  2,  1,  0,  2,  2,  1,  1,  4,  4,  4,  3,  2,  1,  1, 10,  8,  5,  3,
   2,  1,  1,  4,  4,  5,  7,  7,  8,  8,  3,  4,  5,  6,  7,  6,  7,  3,  4,
   5,  5,  5,  4,  5,  2,  2,  2,  2,  2,  2,  3,  2,  2,  2,  2,  1,  0,  3,
   7,  6,  5,  4,  2,  1,  3, 13, 10,  7,  5,  4,  2,  3,  3,  4,  6,  7,  8,
  10, 10,  2,  3,  6,  7,  8,  8,  9,  3,  3,  6,  6,  6,  7,  8,  6,  2,  4,
   5,  5,  6,  7,  8,  4,  6,  7,  7,  7,  7, 12,  8, 10, 10,  9,  8,  7, 15,
  13, 13, 12, 10, 10,  8,  2,  7, 10, 11, 11, 12, 13,  6,  8, 10, 11, 12, 12,
  13, 10,  8, 11, 11, 12, 12, 12, 12,  8, 11, 12, 12, 12, 11, 12, 12, 14, 15,
  16, 14, 14, 12, 18, 20, 19, 17, 17, 15, 15, 23, 22, 21, 19, 18, 16, 14, 17,
  18, 18, 19, 18, 14, 15, 19, 19, 19, 19, 19, 13, 16, 19, 20, 20, 20, 19, 15,
  16, 21, 22, 21, 21, 20, 16, 16, 24, 25, 24, 24, 22, 17, 19, 27, 30, 29, 27,
  24, 19, 24, 32, 34, 31, 29, 26, 20, 26, 29, 28, 28, 25, 21, 16, 26, 31, 29,
  30, 26, 21, 16, 25, 32, 32, 30, 26, 21, 17, 26, 31, 33, 32, 27, 23, 19, 25,
  32, 37, 35, 31, 26, 20, 28, 34, 41, 39, 34, 27, 23, 32, 36, 42, 42, 36, 30,
  24, 35, 41, 39, 33, 28, 24, 19, 35, 41, 42, 35, 29, 24, 19, 35, 42, 45, 36,
  30, 24, 19, 35, 40, 46, 38, 31, 26, 22, 33, 40, 46, 43, 37, 29, 24, 35, 43,
  47, 47, 39, 32, 26, 39, 45, 49, 48, 41, 34, 29,  4,  5,  6,  8,  8,  7,  8,
   4,  5,  6,  7,  7,  6,  6,  3,  5,  6,  6,  5,  4,  4,  3,  3,  3,  3,  3,
   2,  2,  2,  2,  2,  0,  2,  1,  2,  5,  4,  4,  3,  2,  1,  2,  9,  7,  5,
   3,  2,  1,  2,  4,  5,  5,  7,  8, 10, 10,  3,  4,  5,  6,  7,  8,  8,  3,
   4,  5,  5,  5,  6,  6,  3,  2,  3,  3,  3,  4,  5,  4,  2,  2,  2,  3,  3,
   5,  8,  6,  5,  5,  5,  4,  5, 12,  9,  6,  5,  6,  5,  5,  3,  4,  7,  9,
  10, 12, 13,  3,  3,  7,  9,  9, 10, 11,  6,  3,  6,  8,  8,  8, 10,  9,  2,
   5,  7,  8,  8,  9, 11,  4,  7, 10, 10, 10,  9, 14,  8, 10, 12, 12, 11,  9,
  14, 11, 11, 14, 13, 12, 11,  6,  8, 12, 13, 14, 14, 16, 10,  9, 13, 14, 15,
  15, 16, 13,  9, 13, 14, 15, 15, 15, 15,  9, 13, 15, 15, 16, 14, 15, 13, 16,
  18, 18, 18, 17, 14, 18, 21, 21, 20, 19, 18, 14, 21, 23, 23, 22, 21, 20, 16,
  19, 20, 21, 22, 22, 16, 18, 20, 22, 23, 23, 22, 16, 18, 21, 23, 23, 24, 22,
  18, 18, 23, 24, 24, 25, 23, 19, 18, 27, 28, 27, 27, 25, 20, 21, 30, 33, 31,
  30, 27, 22, 24, 31, 35, 33, 32, 29, 23, 27, 32, 31, 31, 28, 24, 20, 28, 34,
  32, 33, 29, 24, 20, 27, 35, 36, 34, 29, 25, 20, 28, 35, 37, 36, 31, 27, 22,
  27, 34, 40, 39, 35, 29, 23, 31, 38, 44, 43, 37, 31, 25, 34, 39, 45, 46, 40,
  33, 27, 38, 45, 43, 37, 31, 26, 22, 39, 44, 46, 39, 33, 27, 23, 39, 45, 47,
  40, 33, 28, 23, 39, 45, 49, 41, 35, 30, 26, 37, 43, 49, 46, 39, 33, 27, 38,
  45, 51, 50, 43, 35, 29, 41, 46, 51, 51, 44, 38, 31,  5,  5,  6,  7,  7,  9,
  10,  5,  5,  6,  7,  7,  7,  8,  4,  5,  6,  5,  5,  5,  6,  4,  3,  3,  3,
   3,  3,  4,  3,  3,  2,  2,  0,  1,  4,  4,  3,  3,  2,  1,  1,  4,  6,  5,
   3,  2,  2,  2,  4,  4,  5,  6,  7,  9, 11, 12,  4,  5,  5,  7,  9, 10, 10,
   4,  4,  5,  5,  7,  8,  9,  5,  3,  3,  3,  5,  6,  7,  6,  3,  2,  3,  6,
   5,  7,  8,  4,  4,  4,  7,  7,  7, 10,  7,  4,  4,  8,  8,  7,  3,  5,  8,
  11, 12, 14, 15,  5,  4,  7, 11, 12, 12, 14,  8,  4,  7, 10, 11, 11, 13, 12,
   3,  5, 10, 11, 12, 11, 13,  4,  7, 12, 13, 13, 12, 14,  6,  8, 12, 14, 14,
  12, 14,  9,  9, 13, 16, 16, 15,  8,  9, 14, 17, 18, 17, 20, 12, 10, 15, 17,
  19, 19, 19, 15, 10, 16, 18, 19, 19, 18, 17, 10, 15, 18, 18, 19, 17, 16, 14,
  17, 20, 21, 21, 20, 15, 16, 20, 22, 23, 23, 22, 14, 18, 21, 23, 24, 24, 24,
  19, 21, 24, 25, 26, 26, 19, 21, 22, 25, 26, 28, 26, 19, 21, 24, 26, 28, 27,
  25, 21, 21, 25, 26, 27, 28, 27, 22, 20, 28, 30, 30, 31, 29, 24, 21, 29, 34,
  33, 32, 30, 25, 21, 30, 37, 35, 34, 33, 27, 30, 34, 35, 34, 32, 28, 24, 30,
  37, 37, 37, 33, 28, 24, 30, 39, 39, 37, 33, 29, 25, 31, 38, 40, 39, 35, 30,
  25, 30, 39, 43, 41, 36, 32, 27, 31, 40, 47, 44, 39, 33, 29, 32, 41, 45, 47,
  41, 36, 31, 42, 48, 47, 40, 35, 31, 26, 43, 49, 49, 42, 36, 32, 27, 42, 48,
  51, 44, 37, 32, 27, 43, 48, 53, 44, 39, 33, 29, 41, 47, 53, 49, 41, 35, 31,
  42, 48, 52, 50, 44, 38, 32, 43, 48, 53, 53, 46, 40, 33,  4,  5,  5,  6,  6,
   8,  8,  4,  5,  5,  6,  6,  6,  6,  3,  4,  5,  4,  4,  4,  4,  3,  3,  3,
   2,  3,  2,  3,  2,  2,  1,  1,  1,  0,  2,  3,  2,  2,  2,  1,  0,  2,  5,
   3,  2,  1,  1,  0,  2,  4,  4,  5,  6,  8, 10, 10,  3,  4,  5,  6,  7,  8,
   9,  3,  3,  4,  4,  5,  6,  7,  4,  2,  2,  2,  3,  4,  5,  6,  2,  2,  2,
   4,  3,  5,  7,  3,  2,  2,  5,  5,  5,  9,  5,  3,  2,  6,  6,  5,  3,  4,
   7,  9, 11, 12, 14,  5,  3,  7, 10, 10, 10, 12,  9,  3,  6,  9,  9,  9, 10,
  13,  2,  5,  8,  9, 10,  9, 13,  3,  5,  9, 10, 11,  9, 16,  5,  6, 10, 12,
  12,  9, 14,  8,  7, 11, 13, 13, 13,  9,  8, 13, 15, 16, 15, 17, 13,  8, 13,
  16, 16, 17, 17, 16,  8, 13, 16, 17, 16, 16, 18,  9, 14, 16, 17, 17, 14, 18,
  12, 15, 18, 19, 18, 17, 15, 13, 17, 19, 20, 20, 20, 14, 16, 19, 21, 21, 21,
  21, 16, 19, 22, 23, 24, 24, 18, 20, 20, 22, 24, 25, 23, 17, 20, 21, 25, 25,
  25, 24, 19, 20, 24, 25, 26, 26, 24, 20, 18, 25, 27, 28, 28, 25, 21, 18, 26,
  30, 30, 29, 27, 23, 18, 27, 32, 32, 31, 30, 25, 29, 33, 33, 32, 30, 26, 21,
  28, 35, 34, 34, 31, 26, 21, 29, 38, 37, 35, 31, 27, 22, 28, 36, 38, 37, 32,
  28, 23, 28, 36, 41, 39, 34, 29, 25, 29, 36, 42, 42, 35, 30, 26, 30, 37, 43,
  43, 38, 33, 27, 40, 47, 45, 37, 33, 28, 24, 40, 45, 46, 40, 34, 29, 25, 41,
  46, 49, 41, 34, 29, 25, 40, 45, 50, 42, 36, 31, 26, 39, 44, 49, 46, 38, 33,
  28, 39, 45, 50, 47, 40, 34, 30, 39, 46, 50, 49, 43, 36, 30,  4,  5,  6,  8,
   8,  6,  6,  4,  4,  5,  7,  7,  5,  4,  3,  4,  5,  5,  6,  4,  2,  3,  3,
   3,  3,  5,  3,  0,  2,  1,  1,  2,  4,  2,  0,  2,  2,  2,  2,  3,  2,  0,
   4,  3,  2,  2,  3,  2,  0,  4,  4,  5,  6,  6,  8,  8,  3,  4,  5,  5,  6,
   6,  6,  3,  4,  4,  4,  4,  4,  5,  2,  2,  2,  2,  2,  2,  3,  2,  2,  1,
   1,  1,  1,  3,  4,  2,  2,  2,  2,  2,  3,  7,  5,  2,  2,  3,  3,  3,  3,
   4,  6,  8,  9, 10, 11,  2,  3,  6,  8,  8,  8,  9,  5,  3,  6,  7,  7,  7,
   8,  9,  2,  4,  7,  6,  7,  6, 11,  2,  4,  7,  8,  8,  6, 13,  4,  5,  8,
   9,  9,  6, 10,  8,  6,  9, 10, 10, 10,  5,  7, 11, 12, 13, 13, 14, 10,  7,
  11, 13, 14, 14, 13, 13,  8, 12, 13, 14, 13, 12, 15,  7, 12, 14, 14, 14, 11,
  16, 10, 13, 15, 15, 15, 14, 12, 12, 15, 16, 17, 17, 16, 10, 15, 17, 18, 18,
  18, 18, 15, 17, 20, 20, 21, 20, 14, 18, 18, 21, 21, 22, 20, 13, 18, 19, 21,
  22, 22, 20, 17, 17, 21, 23, 23, 23, 21, 16, 16, 22, 25, 25, 25, 23, 18, 16,
  24, 27, 27, 25, 24, 20, 17, 25, 30, 28, 28, 26, 21, 25, 29, 30, 30, 26, 23,
  18, 27, 32, 32, 30, 27, 23, 18, 27, 34, 34, 33, 28, 23, 19, 27, 33, 34, 32,
  29, 25, 20, 26, 33, 37, 34, 30, 26, 21, 27, 33, 41, 38, 32, 28, 23, 27, 34,
  39, 41, 35, 29, 24, 36, 42, 39, 34, 29, 25, 21, 37, 43, 42, 36, 31, 26, 22,
  37, 43, 45, 38, 31, 26, 22, 38, 42, 47, 39, 32, 28, 23, 37, 40, 45, 42, 34,
  29, 24, 35, 41, 46, 44, 36, 30, 26, 36, 42, 46, 45, 40, 33, 27,  8,  9, 10,
  12, 12, 11, 10,  8,  9, 10, 12, 12, 10,  9,  7,  8,  9, 10, 11,  8,  7,  7,
   7,  7,  8,  8,  6,  3,  4,  4,  4,  5,  4,  3,  2,  0,  2,  2,  2,  3,  3,
   2,  6,  5,  2,  2,  2,  3,  2,  7,  8, 10, 11, 11, 11, 10,  7,  8,  9, 10,
  10, 10,  9,  6,  7,  9,  9,  9,  8,  7,  6,  6,  6,  7,  6,  5,  2,  3,  3,
   3,  3,  3,  2,  2,  2,  2,  2,  2,  2,  2,  2,  9,  7,  4,  2,  1,  2,  2,
   6,  8,  9,  9, 10, 11, 10,  6,  7,  8,  9,  9,  9,  9,  5,  6,  7,  7,  8,
   8,  7,  5,  5,  5,  5,  5,  5,  3,  2,  1,  1,  2,  2,  2,  3,  5,  4,  3,
   2,  0,  2,  3, 11, 10,  6,  4,  2,  2,  3,  6,  7,  8,  9, 11, 12, 11,  5,
   7,  8, 10, 10, 10, 10,  4,  7,  8,  8,  8,  9,  8,  5,  6,  5,  6,  6,  6,
   6,  3,  6,  6,  6,  7,  7,  7,  5, 11, 10,  9,  8,  8,  8, 11, 16, 13, 12,
  10,  9, 10,  9, 10, 11, 11, 12, 12, 12, 11, 12, 12, 12, 13, 12, 10, 11, 13,
  14, 13, 13, 12,  8, 11, 15, 14, 14, 14, 13,  9, 11, 16, 16, 15, 15, 15, 10,
  12, 18, 21, 20, 18, 16, 11, 17, 21, 24, 21, 20, 18, 13, 18, 20, 20, 21, 18,
  14, 11, 19, 23, 23, 22, 19, 14, 10, 19, 24, 25, 24, 20, 15, 10, 18, 24, 25,
  26, 22, 16, 11, 18, 24, 27, 27, 23, 17, 13, 19, 24, 30, 29, 24, 20, 15, 21,
  27, 31, 31, 27, 21, 16, 27, 33, 33, 26, 21, 16, 12, 27, 33, 35, 27, 22, 17,
  13, 27, 33, 36, 29, 23, 18, 13, 28, 33, 37, 30, 25, 19, 15, 26, 33, 36, 33,
  26, 22, 16, 27, 32, 35, 34, 28, 23, 19, 28, 31, 36, 36, 31, 25, 20,  8,  9,
  10, 11, 11, 11, 10,  7,  8, 10, 11, 11, 10,  8,  7,  8,  9, 10,  9,  8,  6,
   6,  6,  7,  7,  7,  5,  2,  4,  4,  4,  4,  4,  2,  2,  2,  0,  2,  2,  2,
   2,  2,  6,  4,  2,  2,  2,  2,  2,  7,  8,  9, 11, 11, 11, 11,  6,  8,  9,
  10, 11,  9,  9,  6,  7,  8,  9,  8,  7,  6,  6,  5,  6,  6,  6,  5,  2,  3,
   3,  3,  3,  2,  2,  2,  3,  2,  2,  2,  1,  2,  2,  9,  7,  3,  2,  1,  2,
   2,  6,  7,  8,  9, 11, 11, 12,  6,  6,  8,  9, 10, 10, 10,  6,  6,  8,  8,
   8,  8,  8,  5,  5,  6,  6,  5,  5,  5,  3,  2,  3,  3,  3,  3,  4,  5,  5,
   5,  4,  3,  4,  5, 11,  9,  8,  6,  5,  5,  5,  6,  9,  9, 11, 12, 14, 13,
   5,  8, 10, 11, 12, 12, 11,  5,  8,  9,  9,  9, 10,  9,  8,  7,  8,  8,  8,
   9,  8,  6,  8,  9,  9, 10, 10, 10,  6, 13, 13, 12, 11, 11, 11, 11, 18, 16,
  14, 12, 12, 13, 12, 13, 14, 14, 15, 15, 13, 12, 15, 15, 16, 16, 14, 11, 13,
  16, 17, 16, 16, 15, 11, 13, 17, 17, 16, 17, 16, 12, 12, 19, 19, 18, 18, 17,
  13, 14, 22, 23, 21, 20, 18, 14, 19, 24, 26, 24, 22, 20, 16, 22, 24, 24, 24,
  21, 17, 13, 22, 26, 25, 25, 22, 17, 12, 22, 28, 28, 27, 22, 17, 13, 22, 27,
  29, 27, 24, 19, 14, 22, 27, 30, 30, 25, 20, 16, 21, 28, 34, 33, 27, 21, 17,
  25, 30, 34, 35, 30, 24, 18, 31, 37, 36, 29, 23, 19, 15, 30, 36, 39, 32, 25,
  20, 16, 30, 37, 40, 32, 26, 21, 17, 31, 35, 41, 33, 27, 22, 17, 29, 35, 41,
  36, 29, 23, 19, 29, 35, 41, 38, 32, 26, 20, 30, 37, 40, 42, 34, 27, 22,  8,
   9, 10, 12, 11, 11, 10,  7,  8, 10, 11, 11,  9,  8,  7,  8,  9,  9,  9,  7,
   6,  6,  6,  7,  7,  7,  5,  2,  4,  4,  3,  4,  3,  2,  2,  2,  2,  0,  2,
   2,  2,  2,  5,  3,  2,  1,  2,  2,  2,  7,  8,  9, 10, 11, 11, 12,  7,  8,
   9, 10, 11, 10, 10,  6,  7,  8,  8,  8,  7,  7,  6,  6,  6,  6,  5,  4,  4,
   3,  3,  3,  3,  2,  2,  4,  3,  2,  2,  1,  2,  2,  3,  7,  5,  3,  1,  1,
   2,  3,  6,  7,  9, 11, 12, 14, 14,  6,  7, 10, 11, 12, 12, 12,  6,  7,  9,
  10,  9,  9,  9,  5,  5,  7,  7,  7,  7,  6,  6,  2,  4,  5,  5,  5,  6,  8,
   4,  7,  7,  6,  6,  6,  8,  7,  8,  9,  7,  7,  8,  6, 10, 11, 12, 14, 15,
  15,  5,  9, 11, 12, 13, 13, 13,  8,  9, 11, 11, 12, 11, 11, 10,  8, 11, 11,
  11, 12, 10,  9,  9, 11, 12, 12, 12, 13,  8, 13, 15, 15, 14, 14, 14,  8, 16,
  17, 16, 15, 15, 15, 13, 16, 17, 17, 18, 18, 15, 15, 17, 18, 18, 19, 17, 13,
  15, 18, 20, 19, 19, 18, 14, 15, 20, 20, 20, 20, 19, 14, 13, 22, 22, 21, 21,
  20, 15, 16, 24, 26, 24, 23, 21, 17, 18, 25, 28, 27, 25, 23, 19, 24, 27, 27,
  27, 24, 20, 16, 26, 29, 29, 29, 25, 21, 16, 25, 31, 31, 30, 25, 21, 17, 24,
  31, 32, 30, 26, 22, 17, 24, 30, 34, 32, 28, 23, 18, 24, 31, 36, 36, 30, 24,
  20, 27, 33, 38, 39, 33, 27, 21, 35, 39, 39, 32, 27, 22, 18, 34, 41, 42, 34,
  28, 23, 19, 35, 41, 44, 36, 29, 24, 19, 34, 40, 44, 37, 30, 25, 21, 33, 39,
  44, 39, 32, 26, 22, 32, 39, 43, 43, 34, 29, 23, 34, 40, 45, 45, 39, 30, 25,
   7,  8,  9, 10, 10, 10, 11,  7,  7,  8, 10, 10,  9,  8,  6,  7,  8,  9,  8,
   7,  6,  6,  6,  6,  6,  6,  4,  3,  3,  3,  3,  3,  2,  1,  2,  2,  2,  2,
   0,  2,  2,  2,  4,  3,  2,  1,  1,  1,  2,  7,  7,  8,  9, 10, 12, 13,  6,
   7,  8,  9, 10, 10, 11,  6,  7,  7,  7,  8,  8,  8,  5,  5,  5,  5,  5,  5,
   5,  3,  2,  2,  2,  2,  3,  5,  3,  2,  2,  2,  2,  3,  4,  6,  4,  2,  2,
   3,  3,  4,  6,  7, 10, 11, 13, 14, 15,  5,  6,  9, 12, 12, 12, 12,  4,  6,
   9, 10, 10, 10, 10,  8,  4,  6,  8,  8,  8,  8, 10,  2,  4,  7,  8,  8,  8,
  11,  3,  5,  8,  9,  9,  8, 10,  7,  6, 10, 10, 10, 11,  5, 10, 13, 13, 15,
  15, 17,  8,  9, 12, 14, 14, 14, 15, 11,  9, 13, 13, 14, 14, 14, 13,  8, 13,
  14, 14, 15, 13, 13, 10, 14, 15, 16, 16, 16, 11, 12, 16, 16, 17, 16, 17, 10,
  15, 17, 18, 18, 18, 18, 15, 18, 20, 20, 22, 21, 17, 17, 20, 22, 22, 22, 21,
  15, 17, 20, 23, 22, 22, 22, 17, 17, 22, 23, 23, 23, 22, 17, 16, 24, 25, 25,
  25, 23, 19, 16, 25, 28, 27, 26, 24, 20, 17, 26, 30, 28, 29, 26, 22, 27, 31,
  31, 31, 27, 24, 19, 27, 32, 33, 33, 28, 24, 19, 27, 35, 35, 34, 29, 24, 20,
  27, 33, 35, 34, 29, 25, 21, 26, 33, 38, 36, 31, 26, 22, 27, 32, 39, 39, 33,
  27, 23, 28, 34, 39, 40, 35, 30, 25, 38, 44, 42, 36, 31, 26, 21, 38, 45, 45,
  38, 31, 27, 22, 37, 44, 47, 39, 32, 27, 22, 38, 43, 48, 40, 34, 28, 23, 37,
  42, 48, 43, 35, 30, 25, 36, 43, 47, 45, 37, 32, 27, 37, 42, 47, 47, 41, 33,
  28,  6,  6,  7,  8,  8,  9, 10,  5,  6,  7,  8,  8,  8,  8,  5,  6,  6,  6,
   6,  6,  6,  4,  4,  4,  4,  4,  3,  3,  2,  2,  2,  2,  1,  1,  3,  3,  2,
   2,  2,  0,  1,  3,  5,  4,  2,  2,  1,  1,  3,  5,  6,  7,  8, 10, 12, 13,
   5,  5,  6,  8, 10, 10, 10,  4,  5,  6,  6,  7,  8,  8,  4,  3,  3,  4,  5,
   6,  7,  5,  3,  2,  2,  4,  4,  7,  6,  3,  3,  2,  5,  5,  7,  8,  5,  3,
   3,  6,  6,  7,  4,  5,  8, 11, 13, 14, 15,  4,  4,  8, 11, 12, 12, 14,  8,
   4,  8, 10, 10, 11, 12, 11,  3,  5,  9, 10, 11, 11, 12,  3,  5, 10, 11, 12,
  11, 13,  4,  7, 11, 13, 13, 11, 12,  8,  7, 12, 13, 14, 14,  8,  9, 14, 16,
  17, 17, 19, 11,  9, 14, 17, 18, 17, 18, 14,  9, 15, 17, 18, 18, 17, 16, 10,
  14, 17, 18, 19, 16, 16, 12, 16, 18, 20, 19, 19, 14, 14, 18, 20, 21, 21, 21,
  12, 16, 20, 22, 22, 22, 22, 17, 21, 23, 24, 25, 25, 19, 20, 21, 24, 25, 26,
  25, 18, 20, 22, 26, 26, 27, 25, 21, 20, 25, 26, 27, 27, 26, 21, 18, 26, 28,
  29, 29, 27, 22, 18, 27, 31, 32, 30, 29, 24, 19, 29, 33, 33, 33, 30, 25, 30,
  33, 34, 34, 31, 27, 23, 30, 37, 36, 35, 32, 27, 23, 30, 38, 38, 37, 33, 28,
  23, 30, 38, 39, 37, 33, 29, 24, 28, 37, 42, 39, 35, 30, 25, 30, 37, 44, 42,
  36, 32, 27, 31, 38, 43, 44, 38, 33, 29, 42, 48, 45, 40, 34, 30, 26, 41, 48,
  48, 41, 35, 30, 26, 42, 47, 50, 42, 36, 31, 27, 41, 47, 51, 44, 37, 32, 27,
  40, 45, 51, 46, 39, 34, 29, 40, 46, 50, 49, 42, 36, 30, 40, 46, 51, 51, 44,
  37, 32,  4,  5,  5,  6,  6,  8,  8,  4,  5,  5,  6,  6,  6,  6,  3,  4,  5,
   4,  4,  4,  4,  3,  3,  3,  2,  3,  2,  2,  2,  2,  1,  1,  2,  0,  2,  3,
   2,  2,  1,  2,  0,  2,  5,  3,  2,  1,  1,  0,  2,  4,  4,  5,  6,  8,  9,
  10,  3,  4,  5,  6,  8,  8,  8,  3,  4,  4,  4,  6,  6,  7,  4,  2,  2,  2,
   4,  4,  5,  6,  2,  2,  2,  4,  3,  5,  7,  3,  2,  2,  5,  5,  5,  9,  5,
   3,  2,  6,  6,  5,  3,  4,  7,  9, 10, 12, 14,  5,  3,  7, 10, 10, 10, 12,
   9,  3,  6,  8,  9,  9, 10, 13,  2,  5,  8,  9, 10,  9, 13,  3,  5,  9, 11,
  11,  9, 17,  5,  6, 10, 11, 12,  9, 14,  9,  7, 11, 13, 13, 13,  9,  8, 13,
  15, 15, 15, 17, 15,  8, 13, 16, 17, 17, 16, 16,  8, 14, 15, 16, 17, 16, 19,
   9, 13, 17, 17, 17, 14, 18, 12, 15, 18, 18, 19, 17, 15, 13, 17, 19, 20, 20,
  20, 15, 16, 19, 21, 21, 21, 22, 17, 19, 22, 23, 25, 23, 18, 20, 20, 23, 24,
  26, 23, 17, 20, 21, 25, 25, 26, 24, 19, 20, 23, 25, 25, 26, 24, 20, 19, 25,
  27, 28, 28, 26, 22, 18, 26, 30, 30, 29, 27, 23, 19, 27, 32, 32, 31, 28, 25,
  28, 32, 32, 33, 30, 26, 21, 29, 35, 35, 34, 31, 26, 22, 29, 37, 36, 36, 31,
  26, 22, 28, 36, 39, 37, 33, 28, 23, 29, 35, 40, 40, 33, 29, 24, 28, 36, 42,
  41, 36, 30, 26, 30, 37, 43, 44, 38, 33, 28, 40, 46, 44, 38, 32, 29, 25, 40,
  46, 47, 39, 33, 29, 24, 42, 45, 49, 41, 35, 30, 25, 39, 46, 50, 42, 36, 30,
  26, 39, 44, 49, 46, 39, 32, 28, 39, 45, 50, 48, 40, 34, 29, 39, 45, 50, 50,
  43, 37, 31,  4,  5,  6,  7,  7,  6,  6,  4,  4,  5,  7,  7,  5,  4,  3,  4,
   5,  5,  6,  4,  2,  3,  3,  3,  3,  5,  3,  0,  2,  1,  1,  2,  4,  2,  0,
   2,  2,  2,  2,  3,  2,  0,  4,  3,  2,  2,  3,  2,  0,  4,  4,  5,  6,  7,
   8,  8,  3,  4,  4,  5,  6,  6,  7,  3,  4,  4,  4,  4,  4,  4,  2,  2,  2,
   2,  2,  2,  3,  2,  2,  1,  1,  1,  1,  3,  4,  2,  2,  2,  2,  2,  3,  7,
   5,  2,  2,  4,  3,  3,  3,  4,  6,  8,  9, 10, 11,  2,  3,  7,  8,  8,  8,
   9,  5,  3,  6,  7,  6,  6,  8,  9,  2,  4,  7,  6,  6,  6, 11,  2,  4,  7,
   8,  8,  6, 12,  4,  5,  8,  9,  9,  6, 10,  8,  6,  9, 10, 10, 10,  5,  7,
  11, 13, 13, 13, 14, 10,  7, 11, 13, 14, 14, 13, 13,  8, 12, 13, 14, 13, 12,
  15,  8, 12, 14, 14, 14, 11, 15, 10, 13, 15, 15, 15, 14, 13, 12, 15, 16, 17,
  16, 17, 10, 15, 17, 18, 18, 18, 18, 15, 17, 19, 20, 21, 20, 15, 18, 19, 20,
  21, 22, 21, 13, 18, 20, 22, 22, 22, 20, 16, 18, 22, 22, 22, 23, 22, 17, 16,
  23, 24, 24, 25, 23, 18, 16, 24, 27, 27, 26, 23, 20, 17, 25, 30, 28, 28, 25,
  21, 27, 30, 29, 30, 27, 23, 19, 27, 32, 32, 31, 27, 23, 18, 26, 34, 34, 32,
  27, 23, 19, 27, 33, 34, 33, 29, 24, 19, 25, 33, 37, 35, 31, 26, 21, 27, 33,
  40, 38, 32, 26, 22, 27, 34, 40, 40, 34, 29, 24, 37, 43, 40, 34, 29, 26, 21,
  37, 42, 44, 36, 31, 25, 22, 36, 41, 46, 37, 30, 26, 22, 37, 42, 47, 39, 32,
  28, 23, 36, 41, 46, 42, 36, 29, 24, 36, 40, 45, 44, 36, 31, 25, 35, 41, 45,
  46, 40, 33, 28, 14, 15, 16, 18, 18, 17, 16, 13, 15, 16, 18, 17, 16, 14, 13,
  14, 16, 16, 16, 13, 11, 12, 13, 13, 13, 13,  9,  5, 10, 10, 10,  9,  6,  5,
   5,  6,  6,  5,  4,  5,  5,  4,  0,  2,  2,  3,  4,  5,  4, 13, 14, 16, 17,
  17, 17, 16, 12, 14, 15, 16, 17, 16, 14, 12, 13, 15, 15, 14, 13, 11, 11, 12,
  12, 12, 11,  9,  4,  9,  8,  8,  8,  5,  4,  4,  5,  4,  4,  3,  3,  4,  4,
   3,  2,  2,  2,  3,  4,  4, 12, 13, 15, 16, 17, 17, 17, 11, 13, 14, 15, 16,
  15, 15, 12, 12, 13, 13, 13, 12, 11, 11, 11, 10, 10, 10,  8,  4,  7,  7,  7,
   7,  3,  4,  4,  2,  2,  2,  2,  3,  3,  4,  5,  4,  1,  2,  3,  4,  5, 11,
  13, 14, 16, 17, 18, 18, 11, 13, 14, 16, 17, 16, 16, 10, 13, 14, 14, 14, 14,
  12,  7, 12, 11, 11, 11,  9,  9,  4,  8,  7,  7,  5,  5,  6,  3,  6,  6,  6,
   7,  6,  7,  5, 11,  8,  8,  8,  8,  8, 12, 12, 14, 15, 17, 18, 19, 10, 12,
  14, 15, 16, 16, 16, 10, 12, 13, 13, 13, 13, 12, 10, 12, 12, 12, 12, 10,  7,
   8, 13, 13, 13, 14, 13,  8,  8, 14, 16, 16, 16, 15, 10, 11, 17, 19, 18, 18,
  17, 11, 16, 18, 18, 19, 16, 17, 18, 16, 20, 20, 21, 17, 15, 15, 16, 22, 22,
  21, 17, 12, 11, 16, 21, 23, 23, 19, 14, 10, 15, 20, 25, 24, 20, 17, 11, 15,
  22, 27, 25, 23, 18, 13, 17, 23, 27, 28, 24, 20, 15, 25, 31, 30, 24, 18, 16,
  17, 25, 31, 32, 26, 20, 15, 14, 25, 31, 33, 27, 21, 16, 11, 25, 30, 35, 28,
  23, 18, 13, 24, 30, 32, 28, 24, 21, 15, 24, 28, 31, 30, 25, 21, 17, 24, 28,
  31, 31, 27, 23, 19, 12, 13, 15, 16, 16, 16, 15, 12, 13, 14, 15, 15, 14, 12,
  11, 12, 14, 14, 13, 11,  9, 11, 11, 11, 11, 10,  7,  3,  8,  8,  8,  7,  5,
   3,  3,  5,  4,  3,  3,  3,  3,  3,  2,  0,  2,  2,  3,  3,  3, 11, 12, 14,
  15, 16, 16, 15, 11, 12, 13, 15, 15, 14, 12, 11, 12, 13, 13, 12, 11,  9, 11,
  10, 10, 10,  9,  7,  3,  8,  7,  7,  7,  3,  3,  3,  4,  3,  3,  2,  2,  3,
   3,  3,  2,  2,  2,  2,  2,  3, 10, 12, 13, 14, 15, 16, 17, 10, 11, 13, 14,
  14, 14, 14, 11, 11, 12, 12, 12, 11, 10, 10, 10, 10, 10,  9,  7,  5,  5,  6,
   7,  6,  4,  4,  5,  3,  2,  3,  3,  3,  4,  5,  3,  2,  3,  3,  3,  4,  4,
  11, 13, 14, 15, 17, 18, 18,  9, 13, 14, 15, 16, 16, 15,  7, 13, 14, 13, 13,
  13, 11,  8, 11, 11, 11, 10,  9,  9,  6,  7,  8,  8,  8,  8,  8,  3,  8,  9,
   9,  9,  9, 10,  3, 11, 11, 11, 10, 11, 11, 12, 13, 14, 15, 17, 18, 17, 11,
  13, 14, 15, 16, 16, 15, 11, 14, 15, 15, 15, 14, 11, 11, 15, 15, 15, 15, 14,
  10, 10, 17, 17, 16, 17, 15, 12, 11, 17, 20, 19, 18, 17, 13, 13, 18, 22, 20,
  21, 19, 14, 20, 22, 22, 22, 19, 18, 17, 20, 24, 23, 24, 20, 16, 15, 20, 26,
  26, 25, 20, 16, 12, 20, 26, 27, 25, 22, 17, 13, 19, 24, 28, 28, 24, 19, 14,
  19, 25, 31, 30, 25, 20, 16, 20, 25, 31, 33, 27, 22, 17, 28, 34, 33, 27, 22,
  18, 17, 29, 36, 36, 29, 23, 18, 14, 28, 35, 39, 30, 25, 19, 14, 29, 34, 39,
  31, 25, 20, 16, 27, 33, 38, 34, 28, 22, 18, 28, 33, 37, 36, 30, 25, 19, 27,
  34, 38, 39, 33, 26, 21,  9, 11, 12, 13, 13, 13, 12,  9, 10, 11, 13, 12, 11,
   9,  9,  9, 11, 11, 10,  9,  7,  8,  8,  8,  8,  8,  5,  2,  6,  6,  5,  5,
   3,  2,  2,  2,  2,  2,  2,  2,  2,  2,  2,  2,  0,  2,  2,  2,  2,  9,  9,
  11, 12, 12, 13, 13,  9,  9, 10, 12, 12, 11, 11,  8,  9, 10, 10,  9,  9,  8,
   8,  7,  7,  7,  7,  5,  3,  5,  5,  4,  4,  2,  2,  3,  2,  2,  1,  1,  2,
   2,  3,  4,  2,  2,  1,  2,  2,  3,  8,  9, 11, 12, 13, 15, 15,  8,  8, 11,
  12, 13, 13, 13,  8,  8, 11, 11, 10, 10, 10,  6,  7,  8,  8,  8,  7,  6,  5,
   3,  5,  6,  4,  5,  6,  6,  2,  4,  5,  5,  5,  6,  5,  4,  5,  6,  6,  6,
   7,  8, 11, 12, 13, 15, 16, 16,  5, 11, 12, 14, 14, 14, 14,  7, 11, 12, 12,
  12, 12, 11, 10,  9, 10, 10, 10, 10, 10,  8,  7, 10, 11, 11, 12, 12,  6, 10,
  13, 12, 13, 13, 13,  5, 13, 14, 14, 14, 14, 15, 12, 15, 16, 16, 17, 18, 16,
  14, 16, 17, 18, 18, 17, 14, 13, 18, 19, 19, 19, 17, 13, 13, 19, 18, 19, 18,
  18, 14, 13, 20, 20, 20, 20, 19, 15, 13, 21, 22, 22, 22, 20, 16, 16, 22, 26,
  24, 24, 22, 18, 23, 26, 25, 25, 23, 19, 16, 24, 28, 28, 28, 24, 19, 15, 24,
  30, 30, 29, 24, 20, 15, 23, 29, 30, 29, 25, 21, 16, 23, 29, 33, 31, 27, 22,
  17, 24, 29, 35, 34, 29, 23, 19, 23, 29, 34, 36, 32, 26, 21, 33, 39, 38, 31,
  25, 21, 18, 33, 40, 41, 33, 27, 22, 18, 33, 39, 43, 35, 29, 22, 18, 33, 39,
  44, 36, 29, 24, 19, 32, 37, 43, 38, 30, 25, 20, 31, 36, 43, 41, 33, 27, 22,
  31, 37, 43, 42, 36, 30, 24,  7,  8, 10, 11, 11, 11, 11,  7,  8,  9, 11, 10,
   9,  8,  7,  8,  9,  9,  8,  7,  6,  6,  6,  6,  6,  6,  4,  2,  4,  3,  3,
   3,  2,  2,  2,  2,  2,  1,  1,  2,  1,  2,  3,  2,  1,  0,  2,  1,  2,  7,
   8,  8, 10, 11, 12, 13,  7,  7,  8,  9, 10, 10, 10,  6,  7,  8,  8,  8,  8,
   8,  6,  6,  5,  5,  5,  5,  4,  3,  3,  2,  3,  2,  3,  4,  3,  2,  2,  1,
   2,  2,  4,  6,  3,  2,  2,  2,  3,  4,  6,  7, 10, 11, 13, 14, 14,  6,  7,
  10, 11, 12, 12, 12,  4,  6,  9, 10, 10, 10,  9,  6,  5,  7,  8,  8,  7,  8,
   8,  2,  4,  7,  7,  7,  8,  9,  3,  5,  8,  8,  8,  8,  8,  6,  6,  9,  9,
   9, 10,  5, 10, 12, 13, 14, 15, 16,  7,  9, 12, 13, 14, 14, 14, 10,  9, 12,
  13, 13, 13, 13, 13,  8, 12, 13, 13, 14, 12, 12,  9, 13, 14, 15, 15, 15,  9,
  12, 15, 16, 16, 16, 16,  8, 15, 17, 18, 17, 16, 18, 14, 18, 19, 19, 21, 20,
  16, 16, 19, 20, 21, 21, 20, 14, 16, 20, 22, 22, 21, 20, 16, 16, 22, 23, 22,
  23, 21, 17, 15, 23, 24, 24, 23, 22, 18, 15, 23, 27, 26, 25, 24, 19, 17, 24,
  29, 27, 27, 26, 20, 26, 30, 29, 30, 27, 22, 18, 26, 31, 31, 31, 28, 22, 18,
  27, 34, 33, 33, 28, 23, 19, 26, 32, 35, 34, 29, 24, 19, 27, 33, 36, 35, 30,
  25, 21, 25, 33, 40, 38, 33, 26, 22, 27, 33, 40, 39, 34, 29, 24, 37, 43, 41,
  34, 29, 25, 21, 37, 43, 43, 37, 30, 26, 21, 36, 43, 46, 38, 32, 26, 21, 38,
  41, 48, 40, 33, 27, 23, 35, 41, 47, 42, 35, 29, 24, 35, 42, 47, 44, 37, 31,
  26, 35, 41, 47, 46, 39, 32, 27,  6,  7,  8,  9,  9, 10, 11,  6,  7,  7,  9,
   9,  8,  8,  5,  6,  7,  7,  7,  6,  6,  5,  5,  5,  5,  5,  3,  3,  3,  2,
   2,  2,  2,  1,  3,  3,  2,  2,  1,  1,  1,  3,  4,  3,  2,  2,  0,  1,  3,
   5,  6,  7,  8, 10, 12, 13,  5,  6,  7,  8, 10, 10, 10,  4,  6,  6,  7,  8,
   8,  8,  4,  4,  4,  4,  5,  6,  6,  4,  2,  2,  2,  3,  3,  6,  5,  3,  2,
   2,  4,  4,  6,  7,  4,  3,  2,  5,  5,  6,  5,  6,  9, 11, 12, 14, 14,  4,
   5,  9, 11, 12, 12, 13,  7,  5,  8, 10, 10, 10, 11, 10,  3,  6,  9,  9,  9,
  10, 12,  3,  5,  9, 10, 10, 10, 13,  4,  6, 10, 11, 11, 10, 11,  8,  7, 11,
  12, 13, 13,  6,  9, 13, 15, 16, 16, 18, 10,  9, 13, 15, 17, 17, 17, 14,  9,
  14, 15, 16, 17, 16, 16,  9, 14, 16, 17, 17, 15, 15, 11, 15, 17, 18, 18, 18,
  13, 13, 17, 19, 19, 19, 19, 12, 16, 18, 20, 20, 21, 21, 16, 19, 22, 23, 24,
  23, 18, 19, 20, 23, 24, 25, 23, 17, 19, 22, 25, 25, 25, 23, 19, 18, 24, 25,
  26, 26, 25, 20, 17, 26, 27, 27, 27, 26, 21, 17, 25, 29, 30, 29, 27, 23, 19,
  28, 33, 31, 30, 29, 24, 29, 32, 33, 32, 30, 25, 21, 29, 35, 35, 34, 31, 26,
  22, 28, 37, 36, 35, 30, 26, 22, 29, 36, 38, 37, 32, 27, 22, 28, 35, 40, 38,
  34, 29, 23, 29, 36, 42, 41, 36, 31, 26, 30, 36, 43, 44, 38, 32, 27, 40, 46,
  44, 38, 33, 28, 24, 41, 46, 47, 40, 34, 29, 24, 40, 46, 50, 41, 35, 29, 25,
  39, 46, 49, 42, 36, 30, 26, 39, 45, 49, 46, 38, 33, 27, 38, 45, 49, 48, 40,
  34, 29, 39, 45, 49, 48, 43, 36, 30,  4,  5,  5,  6,  6,  8,  8,  4,  5,  5,
   6,  6,  6,  6,  3,  4,  5,  4,  4,  4,  4,  3,  3,  3,  2,  3,  2,  2,  2,
   2,  1,  1,  2,  0,  2,  3,  2,  2,  2,  1,  0,  2,  5,  3,  2,  1,  1,  0,
   2,  4,  4,  5,  6,  8, 10, 10,  3,  4,  5,  6,  8,  8,  8,  3,  4,  4,  4,
   5,  6,  7,  4,  2,  2,  2,  3,  4,  5,  6,  2,  2,  2,  4,  3,  5,  7,  3,
   2,  2,  5,  4,  5, 10,  5,  3,  2,  6,  6,  5,  3,  4,  7,  9, 10, 12, 14,
   5,  3,  7, 10, 10, 10, 12,  9,  3,  6,  8,  9,  9, 10, 13,  2,  5,  8,  9,
  10,  9, 14,  3,  5,  9, 11, 10,  9, 15,  5,  6, 10, 12, 11,  9, 14,  8,  7,
  11, 13, 13, 13, 10,  8, 13, 15, 16, 15, 18, 14,  8, 13, 15, 17, 17, 16, 16,
   9, 14, 16, 16, 17, 16, 18,  9, 14, 16, 17, 17, 14, 18, 12, 15, 18, 18, 19,
  17, 16, 13, 17, 19, 20, 20, 19, 14, 16, 19, 20, 21, 21, 21, 17, 19, 22, 23,
  24, 23, 18, 19, 20, 23, 24, 26, 23, 17, 20, 21, 25, 25, 25, 24, 19, 20, 23,
  25, 26, 26, 24, 20, 18, 26, 28, 28, 28, 26, 21, 18, 26, 31, 31, 29, 27, 23,
  19, 27, 33, 32, 32, 28, 24, 28, 33, 33, 32, 30, 26, 22, 29, 34, 35, 35, 31,
  27, 22, 28, 38, 37, 35, 31, 26, 23, 29, 37, 37, 37, 32, 27, 23, 28, 35, 40,
  39, 34, 29, 24, 29, 35, 43, 41, 36, 31, 27, 29, 38, 43, 44, 38, 32, 27, 40,
  46, 44, 37, 32, 28, 24, 39, 45, 46, 40, 33, 29, 24, 41, 45, 49, 41, 34, 30,
  25, 40, 45, 50, 42, 35, 31, 26, 39, 44, 49, 45, 38, 33, 28, 39, 46, 50, 47,
  41, 35, 29, 40, 44, 50, 50, 43, 36, 31,  4,  5,  6,  8,  8,  6,  6,  4,  4,
   5,  7,  7,  5,  4,  3,  4,  5,  5,  6,  4,  2,  3,  3,  3,  4,  5,  3,  0,
   2,  2,  1,  2,  4,  2,  0,  2,  2,  2,  2,  3,  2,  0,  4,  3,  2,  2,  3,
   2,  0,  4,  4,  5,  6,  6,  8,  8,  3,  4,  4,  5,  6,  6,  7,  3,  4,  4,
   4,  4,  4,  4,  2,  2,  2,  2,  2,  2,  3,  2,  2,  1,  1,  1,  1,  3,  4,
   3,  2,  2,  2,  2,  3,  7,  5,  2,  2,  3,  3,  3,  3,  4,  6,  8,  9, 10,
  11,  2,  3,  6,  8,  8,  8,  9,  5,  3,  6,  7,  6,  6,  8,  9,  2,  4,  7,
   6,  6,  6, 11,  2,  4,  7,  8,  8,  6, 12,  4,  5,  8,  9,  9,  6, 10,  8,
   6,  9, 10, 10, 10,  5,  7, 11, 12, 13, 13, 14, 10,  7, 12, 13, 13, 14, 13,
  14,  8, 12, 13, 13, 13, 12, 14,  8, 12, 14, 14, 14, 11, 15, 10, 13, 15, 15,
  15, 14, 14, 12, 15, 16, 17, 16, 16, 10, 15, 17, 18, 18, 18, 18, 15, 18, 19,
  20, 21, 20, 14, 18, 18, 20, 21, 22, 20, 13, 18, 20, 22, 22, 21, 20, 16, 18,
  22, 23, 22, 23, 22, 17, 16, 24, 24, 24, 24, 22, 18, 16, 24, 27, 27, 26, 24,
  20, 17, 25, 30, 29, 28, 26, 21, 26, 29, 30, 29, 26, 22, 18, 26, 32, 30, 30,
  27, 23, 19, 27, 33, 33, 32, 27, 23, 19, 26, 33, 34, 32, 28, 24, 20, 27, 34,
  36, 35, 31, 25, 21, 27, 34, 40, 38, 33, 27, 23, 28, 34, 39, 39, 35, 29, 24,
  36, 42, 40, 34, 29, 25, 21, 37, 43, 43, 36, 30, 25, 21, 36, 42, 45, 37, 32,
  27, 21, 37, 41, 46, 38, 32, 27, 23, 35, 40, 45, 41, 35, 28, 24, 36, 42, 46,
  44, 37, 32, 25, 37, 41, 46, 46, 38, 33, 27,  2,  2,  3,  3,  3,  2,  2,  1,
   2,  3,  3,  3,  2,  2,  0,  2,  2,  3,  3,  2,  1,  1,  2,  2,  2,  2,  2,
   4,  3,  3,  3,  4,  4,  3,  4,  7,  7,  7,  6,  5,  4,  4, 13, 11,  9,  7,
   5,  4,  4,  0,  2,  2,  3,  2,  2,  1,  1,  2,  2,  3,  2,  2,  1,  2,  1,
   2,  2,  2,  1,  1,  2,  1,  2,  2,  2,  2,  3,  4,  4,  4,  5,  4,  4,  4,
   9,  9,  9,  7,  5,  4,  4, 16, 14, 10,  8,  6,  4,  4,  2,  1,  2,  1,  2,
   1,  4,  2,  1,  2,  1,  1,  1,  4,  2,  1,  0,  0,  1,  0,  5,  3,  2,  3,
   3,  3,  3,  6,  7,  6,  6,  6,  7,  6,  7, 12, 11, 11, 10,  9,  7,  7, 19,
  17, 14, 12, 10,  9,  8,  2,  4,  5,  5,  5,  5,  8,  3,  5,  5,  6,  6,  6,
   8,  7,  6,  6,  7,  7,  8,  8, 10,  9, 10, 10, 10, 11, 10, 10, 14, 14, 14,
  14, 14, 12, 13, 20, 19, 17, 16, 15, 14, 19, 26, 22, 20, 18, 16, 15, 12, 13,
  12, 13, 12, 12,  8, 13, 14, 14, 14, 14, 13,  8, 14, 16, 16, 15, 16, 15, 11,
  13, 20, 19, 19, 19, 18, 14, 17, 25, 24, 22, 23, 21, 16, 21, 27, 30, 26, 25,
  23, 17, 25, 31, 32, 29, 27, 25, 20, 21, 23, 22, 21, 18, 15, 11, 21, 26, 24,
  23, 20, 16, 11, 22, 27, 26, 25, 22, 18, 14, 22, 28, 30, 29, 25, 22, 18, 25,
  31, 35, 34, 30, 25, 20, 27, 33, 40, 38, 33, 26, 22, 31, 37, 41, 41, 35, 28,
  23, 29, 35, 34, 27, 22, 17, 13, 29, 35, 36, 29, 23, 19, 15, 30, 35, 38, 31,
  26, 21, 17, 30, 36, 41, 35, 30, 25, 21, 31, 37, 43, 40, 35, 28, 24, 34, 40,
  46, 45, 38, 31, 25, 37, 42, 46, 46, 39, 33, 27,  1,  2,  2,  2,  2,  2,  1,
   2,  1,  2,  3,  2,  2,  1,  2,  0,  2,  2,  2,  1,  2,  2,  2,  2,  2,  2,
   3,  4,  4,  4,  4,  5,  5,  4,  4,  8,  8,  8,  7,  6,  4,  4, 14, 13,  9,
   8,  6,  4,  4,  2,  0,  2,  2,  2,  1,  2,  2,  1,  2,  2,  2,  1,  2,  2,
   2,  1,  2,  2,  1,  4,  2,  2,  2,  3,  2,  3,  5,  6,  5,  5,  6,  5,  4,
   5, 11, 10, 10,  8,  6,  5,  5, 18, 15, 11,  9,  7,  5,  5,  2,  2,  1,  1,
   1,  3,  6,  2,  2,  2,  2,  2,  4,  6,  3,  2,  3,  3,  4,  4,  7,  7,  3,
   6,  6,  7,  7,  9, 11,  7, 10, 10, 11,  9,  9, 15, 12, 14, 13, 12, 11,  9,
  20, 18, 17, 16, 14, 12, 12,  4,  6,  7,  8,  8,  7, 10,  7,  7,  8,  8,  9,
   9, 10, 11,  8, 10, 10, 11, 11, 11, 14, 10, 13, 14, 14, 14, 13, 14, 16, 18,
  18, 18, 17, 15, 15, 22, 23, 21, 21, 19, 18, 20, 28, 26, 24, 22, 20, 19, 15,
  15, 15, 15, 16, 14, 10, 17, 17, 17, 17, 17, 15, 10, 17, 19, 19, 19, 19, 18,
  14, 17, 22, 23, 23, 23, 22, 18, 20, 27, 28, 26, 28, 25, 20, 24, 30, 34, 32,
  29, 27, 21, 29, 34, 35, 33, 31, 28, 22, 25, 26, 24, 25, 21, 17, 13, 24, 29,
  27, 26, 23, 18, 14, 25, 31, 30, 29, 25, 22, 17, 25, 32, 34, 33, 29, 25, 22,
  28, 34, 38, 38, 34, 28, 23, 31, 37, 45, 42, 36, 30, 25, 34, 39, 45, 45, 38,
  32, 27, 33, 38, 36, 30, 25, 20, 16, 33, 39, 40, 32, 26, 21, 18, 34, 39, 43,
  34, 30, 26, 21, 33, 39, 46, 39, 33, 29, 25, 35, 40, 48, 44, 38, 31, 27, 38,
  44, 50, 48, 42, 34, 29, 40, 46, 51, 51, 44, 37, 30,  2,  1,  2,  2,  2,  2,
   1,  2,  2,  1,  2,  2,  1,  2,  2,  2,  1,  1,  2,  2,  3,  2,  3,  2,  3,
   3,  4,  5,  5,  5,  6,  5,  6,  5,  5, 10,  9,  9,  8,  7,  5,  5, 16, 13,
  11,  8,  7,  5,  5,  2,  2,  0,  2,  1,  2,  4,  3,  2,  1,  2,  1,  2,  5,
   3,  2,  1,  1,  1,  3,  6,  4,  3,  3,  3,  3,  4,  7,  8,  7,  7,  7,  7,
   5,  7, 12, 11, 11, 10,  9,  7,  7, 20, 16, 13, 11, 10,  9,  7,  3,  2,  4,
   4,  4,  5,  7,  5,  2,  4,  4,  5,  5,  8,  8,  3,  5,  7,  7,  6,  9, 11,
   4,  8, 10, 10, 10, 11, 15,  9, 11, 14, 14, 13, 11, 18, 14, 16, 17, 16, 15,
  11, 21, 19, 19, 19, 18, 16, 15,  8,  7, 10, 10, 10,  8, 11, 12,  8, 11, 11,
  12, 12, 12, 15,  9, 12, 14, 14, 15, 14, 17, 12, 17, 18, 18, 18, 15, 18, 17,
  20, 21, 22, 22, 19, 18, 24, 26, 25, 23, 23, 21, 22, 30, 28, 28, 25, 24, 23,
  17, 18, 19, 18, 19, 17, 12, 20, 19, 20, 19, 20, 19, 12, 20, 20, 22, 23, 23,
  22, 17, 20, 24, 26, 27, 27, 26, 22, 23, 29, 31, 31, 31, 29, 24, 25, 33, 36,
  35, 33, 30, 25, 30, 38, 40, 38, 36, 31, 27, 28, 29, 28, 27, 24, 21, 15, 27,
  32, 31, 30, 26, 22, 18, 27, 33, 33, 32, 30, 25, 22, 28, 35, 39, 37, 33, 29,
  25, 31, 38, 43, 42, 38, 32, 27, 35, 42, 48, 46, 40, 34, 28, 38, 44, 49, 49,
  43, 36, 30, 37, 42, 39, 34, 27, 23, 19, 37, 42, 43, 36, 30, 25, 21, 37, 42,
  46, 39, 33, 29, 25, 37, 44, 50, 42, 38, 32, 28, 39, 45, 52, 49, 42, 36, 31,
  43, 48, 54, 54, 46, 39, 33, 44, 50, 55, 55, 48, 41, 33,  2,  2,  1,  2,  2,
   1,  3,  3,  2,  2,  2,  1,  1,  4,  3,  2,  2,  2,  3,  3,  5,  3,  3,  4,
   3,  4,  5,  6,  6,  6,  7,  7,  7,  6,  6, 11, 11, 11, 10,  8,  6,  6, 17,
  15, 12, 10,  8,  6,  6,  3,  2,  2,  0,  1,  4,  6,  3,  2,  2,  1,  1,  4,
   6,  5,  3,  2,  3,  3,  5,  8,  8,  4,  4,  5,  7,  6,  9, 11,  7,  8,  9,
  10,  7,  9, 15, 12, 12, 12, 12, 10,  9, 21, 18, 14, 12, 13, 12,  9,  5,  3,
   5,  6,  6,  7,  8,  8,  3,  5,  7,  7,  6,  9, 11,  3,  5,  9, 10,  8, 11,
  15,  5,  9, 13, 13, 13, 13, 18, 10, 12, 17, 18, 16, 13, 21, 16, 17, 20, 19,
  18, 13, 24, 21, 20, 21, 21, 19, 17, 11,  8, 12, 12, 13, 10, 13, 15,  9, 12,
  14, 15, 14, 15, 18, 11, 14, 17, 18, 19, 16, 20, 14, 18, 20, 21, 21, 18, 21,
  20, 22, 24, 25, 24, 21, 22, 25, 29, 28, 26, 27, 24, 23, 31, 31, 31, 29, 29,
  27, 20, 19, 20, 21, 21, 20, 13, 24, 20, 21, 23, 23, 22, 14, 23, 22, 24, 26,
  27, 25, 20, 24, 26, 29, 30, 30, 29, 25, 24, 33, 35, 35, 35, 31, 27, 28, 37,
  40, 39, 37, 33, 28, 32, 40, 44, 40, 40, 37, 32, 29, 32, 31, 32, 27, 23, 18,
  29, 35, 33, 33, 30, 26, 22, 29, 36, 36, 37, 32, 28, 25, 29, 37, 41, 41, 37,
  33, 29, 33, 41, 47, 46, 42, 36, 31, 36, 45, 52, 50, 44, 38, 31, 40, 46, 53,
  53, 46, 40, 34, 40, 45, 43, 37, 30, 26, 22, 40, 46, 45, 38, 32, 28, 25, 39,
  45, 49, 43, 38, 32, 28, 39, 46, 53, 46, 41, 36, 33, 44, 49, 54, 52, 46, 40,
  35, 45, 52, 58, 57, 48, 43, 36, 48, 54, 60, 59, 52, 44, 38,  2,  1,  1,  3,
   3,  1,  2,  2,  2,  1,  2,  3,  2,  3,  2,  2,  1,  3,  4,  4,  4,  2,  3,
   4,  5,  6,  6,  6,  6,  7,  7,  8, 10,  8,  6, 11, 11, 11, 10, 10,  8,  7,
  17, 15, 13, 11, 10,  8,  7,  2,  2,  1,  1,  0,  2,  4,  2,  2,  1,  1,  1,
   3,  5,  5,  2,  2,  2,  3,  4,  6,  9,  3,  4,  5,  6,  5,  8, 11,  7,  8,
   9, 10,  6,  8, 15, 13, 13, 12, 11, 10,  8, 21, 18, 15, 13, 13, 12,  8,  5,
   2,  4,  5,  5,  5,  7, 10,  2,  4,  6,  7,  5,  8, 13,  2,  5,  9, 10,  6,
  10, 15,  5,  8, 12, 13, 12, 12, 17, 10, 12, 16, 17, 16, 12, 21, 16, 17, 19,
  19, 17, 12, 24, 21, 20, 21, 20, 19, 16, 13,  7, 11, 12, 11,  8, 11, 16,  9,
  11, 12, 14, 13, 13, 19, 11, 13, 16, 17, 17, 15, 21, 14, 17, 20, 20, 21, 17,
  21, 19, 22, 24, 23, 24, 21, 22, 25, 27, 28, 27, 26, 23, 24, 31, 31, 30, 28,
  27, 26, 21, 18, 19, 20, 20, 19, 11, 24, 19, 21, 21, 22, 22, 13, 25, 21, 23,
  25, 26, 24, 19, 24, 26, 27, 30, 29, 28, 24, 25, 31, 33, 34, 35, 33, 26, 27,
  36, 39, 38, 36, 34, 28, 32, 41, 42, 41, 39, 35, 30, 28, 30, 30, 28, 25, 22,
  16, 29, 33, 31, 31, 28, 24, 20, 28, 35, 34, 35, 31, 28, 24, 29, 37, 40, 39,
  37, 31, 28, 32, 40, 45, 45, 41, 35, 29, 36, 44, 51, 48, 42, 37, 32, 39, 48,
  51, 50, 45, 39, 33, 38, 43, 41, 34, 28, 24, 21, 38, 43, 43, 37, 31, 28, 24,
  37, 44, 46, 39, 36, 31, 28, 37, 45, 51, 45, 39, 36, 31, 41, 49, 54, 51, 45,
  39, 33, 44, 51, 57, 56, 47, 41, 34, 47, 52, 57, 58, 50, 43, 37,  2,  1,  3,
   5,  5,  3,  2,  2,  1,  3,  4,  6,  4,  3,  2,  1,  2,  5,  7,  6,  5,  2,
   3,  4,  6,  8,  8,  8,  5,  6,  7,  9, 11, 10,  8, 11, 11, 11, 12, 12, 10,
   8, 17, 15, 13, 12, 12, 10,  8,  2,  1,  2,  4,  2,  0,  2,  2,  2,  2,  3,
   3,  1,  4,  2,  2,  1,  4,  4,  3,  5,  5,  3,  4,  6,  6,  6,  6,  8,  7,
   8,  9,  9,  7,  7, 14, 13, 12, 12, 10,  8,  6, 21, 18, 15, 12, 10,  9,  7,
   2,  2,  3,  2,  2,  3,  5,  6,  2,  3,  3,  4,  4,  6, 10,  2,  4,  6,  7,
   5,  7, 13,  3,  8, 10, 10, 10, 10, 15,  9, 12, 14, 14, 13, 10, 19, 15, 17,
  17, 16, 15, 10, 23, 22, 19, 19, 17, 16, 14, 10,  7,  9,  9,  9,  6,  8, 14,
   7, 10, 10, 11, 11, 10, 16,  9, 11, 13, 14, 15, 12, 19, 12, 16, 18, 18, 18,
  14, 18, 17, 20, 22, 22, 21, 17, 19, 24, 25, 25, 25, 24, 21, 23, 30, 29, 28,
  26, 24, 23, 19, 16, 17, 17, 17, 16,  9, 23, 18, 18, 18, 20, 18, 10, 23, 20,
  21, 22, 23, 21, 16, 22, 24, 26, 27, 27, 26, 22, 22, 29, 31, 31, 31, 29, 23,
  25, 35, 37, 36, 34, 31, 25, 31, 38, 39, 37, 35, 32, 26, 27, 28, 27, 26, 23,
  18, 14, 28, 31, 27, 27, 25, 21, 18, 26, 32, 32, 32, 29, 25, 21, 26, 34, 37,
  36, 32, 29, 25, 30, 38, 43, 42, 39, 31, 28, 35, 42, 49, 46, 39, 33, 28, 39,
  44, 49, 49, 42, 38, 30, 35, 41, 36, 31, 25, 21, 18, 34, 39, 39, 32, 27, 25,
  20, 36, 40, 41, 36, 33, 29, 25, 35, 42, 47, 42, 36, 32, 29, 39, 44, 52, 49,
  41, 37, 31, 42, 48, 54, 52, 44, 38, 32, 45, 50, 53, 54, 47, 41, 34,  1,  4,
   5,  7,  7,  5,  3,  1,  3,  5,  7,  8,  6,  5,  1,  2,  5,  7,  9,  8,  6,
   2,  3,  6,  8, 10,  9,  8,  5,  6,  8, 10, 12, 10,  8, 10, 10, 12, 13, 12,
  10,  8, 16, 15, 13, 13, 13, 10,  8,  1,  2,  4,  5,  4,  2,  0,  2,  1,  4,
   5,  4,  3,  2,  2,  1,  3,  6,  5,  4,  4,  2,  3,  5,  7,  7,  6,  6,  6,
   7,  8, 10, 10,  8,  6, 12, 12, 12, 13, 10,  8,  6, 20, 17, 14, 13, 11,  9,
   6,  2,  1,  1,  1,  2,  2,  3,  2,  2,  1,  1,  1,  2,  4,  5,  2,  2,  3,
   3,  3,  5, 10,  3,  6,  7,  6,  7,  7, 12,  8, 10, 11, 11, 10,  7, 17, 14,
  15, 14, 12, 11,  7, 22, 20, 18, 16, 14, 13, 11,  5,  6,  6,  6,  6,  5,  7,
  11,  6,  7,  7,  8,  8,  7, 14,  7,  9, 10, 11, 11,  9, 16, 10, 14, 14, 14,
  15, 11, 16, 16, 18, 18, 18, 18, 15, 17, 23, 23, 22, 21, 19, 18, 22, 30, 26,
  24, 22, 21, 20, 16, 14, 14, 13, 14, 13,  7, 18, 15, 15, 15, 16, 15,  7, 18,
  18, 18, 19, 19, 17, 13, 19, 22, 22, 23, 23, 22, 18, 20, 27, 28, 28, 28, 25,
  20, 24, 31, 34, 32, 29, 26, 22, 29, 34, 37, 34, 32, 29, 23, 24, 24, 23, 23,
  19, 15, 11, 24, 28, 25, 24, 21, 18, 14, 24, 30, 28, 27, 26, 21, 18, 24, 31,
  33, 32, 29, 26, 22, 27, 34, 39, 36, 33, 29, 23, 32, 38, 44, 42, 35, 30, 25,
  34, 41, 45, 45, 39, 33, 26, 30, 37, 33, 27, 22, 18, 14, 32, 36, 35, 29, 24,
  21, 18, 32, 36, 38, 32, 28, 25, 21, 31, 37, 44, 38, 33, 29, 25, 34, 40, 46,
  42, 38, 32, 27, 38, 44, 48, 48, 41, 34, 29, 42, 48, 50, 50, 43, 35, 30,  2,
   2,  3,  4,  4,  3,  2,  2,  2,  3,  4,  4,  2,  2,  1,  2,  2,  3,  3,  2,
   1,  0,  2,  2,  2,  3,  2,  3,  3,  3,  3,  3,  4,  3,  3,  7,  6,  7,  6,
   5,  3,  3, 13, 11,  9,  7,  5,  3,  3,  1,  2,  3,  3,  2,  2,  2,  0,  2,
   2,  3,  2,  2,  1,  1,  2,  2,  2,  2,  2,  1,  1,  1,  2,  2,  2,  2,  3,
   4,  4,  4,  4,  4,  3,  3,  9,  8,  8,  7,  5,  4,  3, 16, 13, 10,  8,  6,
   4,  3,  1,  2,  2,  2,  2,  2,  3,  2,  2,  2,  1,  2,  1,  3,  2,  1,  1,
   1,  1,  1,  4,  2,  2,  2,  2,  2,  2,  6,  6,  6,  5,  5,  6,  5,  5, 12,
  11, 10,  9,  7,  6,  5, 18, 16, 13, 11,  9,  7,  7,  2,  3,  4,  4,  4,  4,
   8,  2,  5,  4,  5,  5,  5,  8,  5,  5,  6,  6,  6,  7,  8,  8,  8,  9,  9,
   9, 10,  9,  9, 13, 13, 13, 13, 12, 12, 12, 18, 17, 16, 15, 14, 13, 18, 24,
  21, 19, 16, 15, 15, 11, 11, 12, 12, 12, 11,  7, 13, 13, 13, 13, 13, 12,  8,
  13, 15, 14, 15, 14, 13, 10, 13, 19, 18, 18, 18, 17, 14, 16, 23, 22, 21, 23,
  20, 15, 20, 26, 27, 26, 24, 22, 17, 24, 29, 31, 28, 26, 24, 19, 20, 22, 21,
  21, 18, 14,  9, 21, 24, 23, 22, 19, 15, 10, 21, 26, 25, 25, 21, 17, 13, 21,
  27, 29, 28, 25, 20, 17, 23, 28, 33, 32, 29, 23, 18, 26, 31, 38, 37, 32, 25,
  20, 29, 35, 38, 39, 34, 28, 22, 28, 35, 33, 26, 21, 17, 12, 28, 34, 35, 28,
  23, 18, 14, 28, 34, 38, 30, 25, 20, 16, 28, 34, 40, 35, 29, 24, 20, 30, 36,
  43, 39, 32, 28, 23, 32, 38, 43, 42, 36, 29, 24, 34, 40, 44, 46, 38, 32, 26,
   0,  2,  2,  3,  3,  2,  2,  1,  2,  2,  3,  2,  2,  1,  2,  1,  2,  2,  2,
   1,  2,  2,  1,  2,  2,  2,  3,  4,  4,  4,  4,  4,  5,  4,  4,  8,  8,  8,
   7,  5,  4,  4, 14, 12,  9,  7,  6,  4,  4,  2,  1,  2,  3,  2,  2,  1,  2,
   0,  2,  2,  2,  1,  1,  2,  1,  2,  2,  2,  1,  3,  2,  2,  2,  2,  2,  3,
   4,  5,  5,  5,  5,  5,  4,  4, 10,  9,  9,  8,  6,  4,  4, 17, 15, 11,  9,
   7,  5,  4,  2,  1,  1,  1,  1,  2,  6,  2,  2,  1,  1,  1,  3,  6,  2,  2,
   2,  2,  2,  3,  7,  6,  3,  5,  5,  5,  6,  8,  9,  7,  9,  9,  9,  8,  8,
  14, 12, 13, 12, 11, 10,  8, 20, 18, 16, 14, 12, 11, 10,  3,  6,  6,  6,  7,
   6,  9,  6,  7,  7,  8,  8,  8,  9,  9,  7,  9,  9, 10, 10, 10, 12, 10, 12,
  13, 13, 13, 12, 13, 15, 16, 17, 17, 16, 14, 14, 21, 21, 20, 19, 17, 16, 20,
  28, 24, 22, 20, 19, 18, 14, 15, 14, 14, 15, 13,  9, 16, 17, 16, 15, 16, 15,
  10, 16, 17, 18, 18, 18, 17, 13, 15, 22, 21, 21, 22, 20, 17, 19, 26, 27, 26,
  26, 23, 19, 23, 31, 32, 30, 28, 25, 20, 27, 33, 35, 31, 29, 27, 21, 24, 25,
  24, 24, 20, 16, 12, 23, 27, 25, 25, 22, 18, 14, 24, 30, 28, 27, 25, 20, 17,
  23, 30, 33, 31, 28, 24, 20, 27, 33, 38, 36, 32, 28, 22, 30, 36, 42, 41, 34,
  29, 24, 33, 39, 43, 42, 37, 31, 26, 32, 37, 36, 29, 23, 19, 15, 32, 37, 38,
  30, 25, 20, 17, 31, 36, 40, 33, 28, 23, 20, 32, 38, 44, 38, 32, 28, 24, 34,
  41, 46, 44, 37, 31, 25, 36, 43, 48, 49, 40, 34, 28, 39, 45, 49, 50, 42, 35,
  30,  2,  0,  2,  2,  2,  2,  1,  2,  1,  2,  2,  2,  1,  1,  2,  2,  2,  2,
   2,  2,  3,  2,  2,  2,  2,  3,  3,  4,  5,  5,  5,  5,  5,  5,  4,  9,  9,
   9,  8,  6,  5,  4, 15, 13, 10,  8,  7,  5,  4,  2,  2,  1,  2,  1,  1,  4,
   2,  2,  0,  2,  1,  1,  4,  2,  2,  1,  1,  1,  2,  5,  3,  3,  3,  3,  3,
   4,  6,  7,  6,  6,  6,  6,  4,  6, 11, 11, 11,  9,  7,  6,  6, 19, 16, 12,
  10,  9,  7,  6,  3,  2,  3,  3,  3,  5,  7,  3,  2,  3,  4,  4,  5,  7,  7,
   2,  4,  6,  6,  5,  8, 10,  3,  7,  9,  9,  9, 10, 13,  8, 11, 12, 13, 12,
  10, 17, 13, 15, 16, 15, 13, 10, 21, 19, 18, 17, 16, 15, 14,  7,  7,  9,  9,
  10,  8, 11, 11,  8, 10, 10, 11, 11, 11, 13,  8, 11, 12, 13, 13, 12, 16, 11,
  15, 16, 16, 17, 14, 17, 17, 20, 20, 20, 19, 18, 18, 23, 24, 24, 23, 21, 20,
  21, 30, 27, 25, 24, 22, 22, 17, 17, 17, 17, 18, 16, 11, 19, 18, 18, 18, 18,
  18, 11, 19, 20, 21, 21, 22, 20, 16, 19, 23, 25, 25, 25, 24, 20, 21, 30, 30,
  29, 29, 26, 22, 25, 34, 35, 34, 31, 29, 24, 30, 36, 39, 35, 34, 31, 26, 26,
  28, 27, 27, 23, 19, 15, 26, 31, 29, 28, 25, 21, 17, 26, 32, 32, 31, 28, 24,
  20, 26, 34, 37, 35, 31, 28, 23, 30, 36, 41, 40, 36, 30, 26, 33, 41, 46, 45,
  38, 32, 27, 37, 42, 48, 48, 41, 35, 28, 35, 41, 39, 32, 26, 22, 18, 35, 41,
  42, 34, 29, 24, 20, 36, 42, 45, 37, 33, 27, 23, 36, 42, 49, 41, 37, 31, 27,
  38, 45, 50, 47, 42, 35, 29, 41, 48, 53, 52, 44, 37, 31, 44, 50, 53, 54, 46,
  40, 32,  2,  2,  1,  2,  2,  1,  2,  2,  2,  1,  2,  2,  1,  3,  3,  2,  1,
   2,  3,  3,  4,  3,  3,  3,  3,  4,  5,  5,  6,  6,  7,  6,  7,  6,  5, 10,
  10, 10,  9,  8,  6,  5, 17, 15, 12, 10,  8,  6,  5,  3,  2,  2,  1,  1,  3,
   5,  3,  2,  2,  0,  1,  3,  6,  3,  2,  2,  2,  2,  4,  7,  6,  4,  4,  5,
   5,  5,  8, 10,  7,  8,  8,  9,  6,  8, 14, 12, 12, 11, 10,  9,  8, 20, 17,
  14, 12, 12, 11,  8,  3,  2,  4,  5,  5,  6,  8,  7,  3,  4,  6,  6,  6,  9,
  10,  3,  5,  8,  9,  7, 10, 14,  5,  9, 12, 12, 12, 12, 16,  9, 12, 15, 16,
  15, 12, 20, 15, 16, 19, 18, 17, 12, 23, 21, 20, 21, 19, 18, 16, 10,  7, 11,
  12, 12,  9, 13, 14,  8, 12, 13, 14, 13, 13, 17, 10, 13, 16, 16, 17, 15, 19,
  13, 17, 20, 20, 20, 17, 20, 18, 22, 24, 24, 23, 20, 20, 24, 26, 28, 26, 25,
  23, 23, 30, 30, 29, 27, 26, 25, 19, 19, 20, 20, 20, 19, 13, 23, 20, 21, 22,
  22, 21, 13, 22, 22, 23, 25, 26, 24, 19, 22, 26, 28, 28, 29, 28, 24, 24, 32,
  33, 33, 33, 31, 25, 27, 37, 39, 38, 35, 32, 27, 31, 40, 42, 39, 39, 35, 29,
  28, 31, 30, 29, 27, 22, 17, 29, 33, 32, 31, 28, 24, 20, 28, 35, 34, 35, 32,
  27, 23, 28, 37, 40, 39, 36, 31, 27, 32, 41, 46, 44, 41, 34, 29, 36, 43, 50,
  49, 42, 37, 32, 40, 47, 51, 51, 45, 38, 32, 38, 44, 41, 35, 28, 25, 20, 38,
  44, 44, 37, 32, 28, 24, 39, 44, 47, 41, 36, 31, 27, 38, 45, 52, 46, 40, 36,
  31, 41, 48, 55, 52, 44, 39, 34, 45, 51, 57, 56, 47, 40, 35, 48, 53, 56, 58,
  51, 43, 37,  2,  1,  1,  3,  3,  1,  2,  2,  1,  1,  2,  3,  2,  3,  2,  2,
   1,  3,  4,  4,  4,  2,  3,  3,  4,  6,  6,  6,  5,  6,  7,  7,  9,  8,  6,
  11, 11, 11, 10, 10,  8,  6, 17, 15, 12, 10,  9,  8,  6,  2,  2,  1,  1,  1,
   3,  4,  2,  2,  1,  1,  0,  3,  5,  4,  2,  1,  2,  2,  4,  6,  8,  3,  4,
   5,  5,  5,  7, 10,  7,  8,  9,  9,  6,  7, 14, 12, 12, 12, 11,  9,  7, 21,
  17, 14, 12, 12, 11,  7,  4,  2,  4,  5,  5,  6,  8,  9,  2,  4,  6,  6,  5,
   8, 13,  2,  5,  8,  9,  6, 10, 15,  5,  8, 12, 12, 12, 12, 17, 10, 12, 16,
  17, 16, 12, 21, 15, 17, 19, 19, 17, 12, 24, 21, 19, 20, 19, 18, 16, 13,  7,
  11, 12, 11,  9, 12, 16,  8, 11, 12, 14, 13, 13, 19, 11, 12, 15, 17, 17, 14,
  21, 14, 17, 20, 20, 20, 16, 20, 19, 22, 23, 25, 24, 19, 22, 25, 27, 27, 27,
  25, 24, 23, 31, 30, 30, 28, 27, 26, 21, 17, 19, 20, 20, 19, 12, 24, 19, 21,
  21, 22, 21, 13, 24, 21, 23, 24, 25, 24, 18, 24, 26, 27, 28, 30, 28, 24, 25,
  32, 32, 34, 33, 32, 25, 27, 34, 39, 38, 36, 33, 27, 32, 39, 43, 39, 38, 36,
  29, 28, 29, 29, 29, 26, 22, 16, 28, 33, 31, 31, 27, 24, 20, 28, 36, 35, 33,
  31, 27, 24, 28, 37, 39, 38, 35, 31, 27, 32, 39, 45, 44, 40, 34, 30, 35, 43,
  51, 47, 41, 36, 31, 39, 48, 52, 52, 45, 38, 33, 38, 43, 40, 34, 29, 24, 21,
  38, 43, 43, 37, 32, 27, 24, 37, 43, 46, 40, 36, 32, 27, 37, 44, 50, 44, 40,
  34, 31, 41, 48, 53, 51, 43, 39, 33, 45, 51, 55, 56, 48, 40, 34, 47, 53, 55,
  57, 51, 41, 37,  1,  1,  4,  6,  5,  4,  2,  1,  1,  3,  5,  5,  3,  2,  2,
   1,  2,  4,  6,  5,  4,  2,  2,  3,  5,  7,  6,  6,  5,  5,  6,  8, 10,  8,
   6, 10,  9,  9, 10, 10,  8,  6, 15, 14, 11, 10, 10,  8,  6,  2,  1,  2,  4,
   3,  1,  3,  2,  1,  1,  3,  3,  0,  3,  2,  2,  1,  3,  3,  2,  4,  4,  3,
   4,  5,  5,  4,  5,  7,  6,  7,  8,  7,  6,  5, 12, 11, 11, 10,  8,  6,  5,
  19, 16, 12, 10,  9,  8,  5,  2,  1,  3,  2,  3,  4,  6,  4,  2,  3,  3,  4,
   3,  5,  8,  2,  4,  6,  6,  4,  6, 13,  3,  7,  9,  9,  9,  8, 14,  8, 11,
  13, 13, 12,  8, 18, 14, 15, 16, 15, 13,  8, 21, 19, 18, 18, 16, 15, 13,  9,
   6,  9,  9,  9,  7, 10, 13,  7,  9, 10, 10, 10,  9, 16,  8, 11, 13, 13, 13,
  11, 18, 11, 15, 16, 17, 17, 13, 18, 17, 19, 20, 21, 19, 16, 18, 23, 25, 23,
  23, 21, 19, 21, 28, 27, 26, 24, 23, 22, 18, 16, 17, 16, 17, 17, 10, 21, 18,
  18, 18, 19, 17,  9, 21, 19, 20, 22, 21, 20, 15, 21, 23, 24, 25, 25, 24, 20,
  22, 29, 30, 30, 30, 27, 22, 25, 33, 35, 34, 32, 29, 24, 29, 37, 38, 35, 34,
  31, 26, 26, 28, 27, 26, 22, 19, 14, 26, 30, 28, 27, 25, 21, 17, 25, 32, 31,
  30, 28, 24, 20, 26, 34, 36, 35, 32, 28, 24, 28, 36, 41, 40, 36, 31, 26, 33,
  41, 47, 43, 38, 31, 27, 37, 41, 47, 47, 40, 34, 29, 35, 40, 37, 30, 26, 22,
  18, 34, 40, 40, 33, 27, 24, 20, 35, 40, 43, 36, 31, 27, 24, 34, 42, 46, 41,
  36, 32, 28, 37, 43, 48, 46, 40, 35, 30, 41, 46, 52, 51, 42, 36, 31, 44, 49,
  53, 52, 45, 39, 32,  1,  5,  6,  8,  8,  6,  4,  0,  3,  6,  8,  8,  5,  3,
   1,  2,  5,  6,  8,  6,  5,  1,  3,  5,  7,  9,  7,  6,  4,  5,  7,  8, 10,
   9,  6,  8,  8, 10, 11, 11,  9,  7, 14, 12, 11, 11, 10,  8,  7,  1,  2,  5,
   7,  5,  4,  2,  1,  1,  4,  6,  5,  3,  0,  2,  1,  3,  5,  4,  3,  2,  2,
   2,  4,  5,  5,  4,  4,  5,  6,  7,  8,  7,  6,  4, 11, 10, 10, 10,  8,  6,
   4, 17, 14, 12, 10,  8,  6,  4,  1,  1,  1,  2,  3,  3,  5,  2,  1,  0,  1,
   2,  2,  3,  3,  1,  2,  2,  2,  2,  4,  7,  2,  5,  5,  5,  5,  5, 11,  7,
   9,  9,  9,  8,  5, 15, 12, 13, 12, 11,  9,  5, 19, 17, 15, 14, 12, 10,  9,
   3,  5,  6,  6,  7,  6,  8,  8,  6,  7,  7,  8,  8,  7, 11,  7,  8,  9,  9,
   9,  8, 14,  9, 13, 13, 13, 13, 10, 15, 14, 17, 16, 17, 16, 13, 15, 20, 21,
  20, 19, 17, 16, 20, 26, 24, 22, 21, 19, 18, 14, 14, 14, 14, 15, 14,  8, 17,
  16, 15, 15, 16, 14,  7, 17, 17, 18, 18, 18, 17, 12, 16, 21, 22, 21, 22, 20,
  16, 19, 27, 27, 26, 26, 24, 18, 22, 30, 31, 30, 27, 25, 21, 27, 33, 35, 32,
  30, 27, 22, 24, 25, 24, 23, 20, 17, 12, 24, 27, 25, 24, 21, 17, 12, 23, 29,
  27, 27, 24, 20, 16, 24, 31, 31, 30, 27, 24, 20, 26, 33, 37, 35, 32, 27, 21,
  30, 36, 43, 39, 33, 29, 24, 33, 39, 43, 41, 36, 29, 25, 31, 35, 33, 27, 23,
  19, 15, 32, 36, 35, 28, 24, 20, 16, 32, 37, 38, 32, 27, 24, 20, 30, 37, 41,
  36, 31, 27, 23, 34, 39, 44, 41, 36, 30, 25, 37, 41, 47, 46, 39, 32, 28, 39,
  45, 48, 47, 41, 34, 29,  2,  2,  4,  8,  8,  6,  2,  2,  2,  3,  7,  8,  4,
   2,  2,  2,  3,  4,  5,  3,  2,  1,  2,  2,  2,  3,  2,  2,  2,  2,  3,  3,
   3,  3,  3,  6,  6,  6,  6,  4,  3,  2, 12, 10,  8,  6,  4,  3,  3,  2,  2,
   3,  5,  5,  2,  2,  1,  2,  3,  4,  4,  2,  2,  0,  2,  2,  2,  2,  2,  1,
   1,  1,  1,  2,  1,  1,  3,  3,  3,  4,  4,  3,  3,  3,  8,  7,  8,  7,  4,
   3,  3, 15, 13, 10,  7,  5,  3,  3,  0,  2,  2,  2,  2,  2,  1,  2,  2,  2,
   2,  2,  2,  1,  2,  1,  1,  1,  1,  1,  2,  2,  1,  1,  1,  1,  1,  4,  5,
   5,  4,  4,  5,  3,  4, 11, 10,  9,  8,  6,  4,  4, 17, 16, 12,  9,  7,  6,
   5,  2,  2,  2,  3,  3,  3,  7,  2,  3,  3,  4,  4,  4,  7,  4,  4,  4,  5,
   5,  5,  7,  7,  7,  7,  7,  8,  8,  8,  7, 11, 11, 11, 12, 11, 10, 11, 17,
  16, 15, 14, 12, 12, 18, 22, 19, 17, 16, 14, 13, 10, 10, 10, 10, 11, 10,  7,
  12, 12, 12, 11, 12, 11,  7, 12, 14, 13, 13, 13, 12,  8, 12, 17, 16, 17, 16,
  15, 12, 15, 21, 20, 20, 20, 19, 13, 18, 24, 26, 24, 24, 21, 15, 22, 28, 29,
  26, 25, 23, 17, 19, 21, 20, 20, 16, 12,  8, 19, 23, 22, 22, 18, 13,  9, 20,
  25, 24, 24, 20, 15, 11, 19, 25, 27, 27, 23, 19, 15, 21, 28, 31, 31, 28, 22,
  17, 25, 30, 36, 35, 30, 24, 18, 27, 33, 38, 36, 31, 27, 21, 27, 32, 31, 25,
  20, 16, 11, 27, 33, 34, 27, 22, 16, 12, 27, 32, 36, 29, 24, 19, 15, 27, 33,
  38, 32, 27, 23, 19, 28, 35, 40, 36, 32, 26, 21, 31, 36, 41, 40, 33, 28, 22,
  34, 37, 42, 41, 35, 31, 24,  1,  2,  3,  3,  3,  2,  2,  0,  2,  2,  3,  3,
   2,  1,  1,  2,  2,  2,  2,  2,  1,  2,  1,  1,  2,  2,  2,  4,  4,  3,  4,
   4,  4,  4,  4,  7,  7,  7,  7,  5,  4,  4, 13, 11,  9,  7,  6,  4,  4,  1,
   2,  2,  3,  2,  2,  1,  2,  1,  2,  2,  2,  1,  1,  2,  0,  2,  2,  2,  1,
   1,  2,  2,  2,  2,  2,  2,  4,  5,  4,  4,  5,  4,  4,  3,  9,  9,  8,  8,
   5,  4,  4, 17, 14, 10,  8,  6,  4,  3,  2,  0,  1,  1,  2,  2,  5,  2,  2,
   1,  1,  1,  2,  5,  2,  2,  1,  1,  1,  1,  6,  4,  2,  4,  4,  4,  4,  7,
   8,  6,  7,  8,  8,  7,  7, 13, 11, 12, 11,  9,  8,  7, 19, 17, 15, 13, 11,
  10,  9,  2,  5,  5,  6,  6,  5,  8,  5,  6,  6,  7,  7,  7,  9,  8,  7,  7,
   8,  8,  8,  9, 11,  9, 11, 11, 11, 11, 11, 11, 14, 15, 15, 15, 14, 13, 13,
  20, 20, 19, 18, 16, 15, 19, 26, 23, 20, 19, 17, 17, 12, 13, 13, 13, 14, 12,
   8, 14, 15, 15, 15, 15, 13,  8, 14, 17, 16, 16, 16, 15, 12, 14, 21, 20, 19,
  20, 19, 15, 18, 26, 24, 24, 25, 22, 17, 21, 29, 30, 29, 26, 23, 19, 26, 31,
  33, 30, 29, 26, 20, 22, 24, 22, 22, 19, 15, 11, 23, 26, 24, 23, 21, 16, 12,
  22, 28, 27, 26, 22, 19, 15, 22, 28, 31, 30, 26, 22, 19, 26, 32, 35, 35, 31,
  26, 21, 28, 34, 40, 39, 32, 28, 23, 32, 37, 42, 41, 36, 29, 25, 30, 36, 35,
  28, 22, 18, 14, 30, 36, 37, 29, 23, 19, 15, 30, 36, 39, 32, 27, 22, 19, 31,
  38, 42, 36, 31, 26, 23, 32, 39, 44, 42, 34, 30, 24, 34, 40, 47, 45, 38, 32,
  27, 37, 42, 48, 48, 41, 34, 27,  1,  1,  2,  2,  2,  2,  1,  2,  1,  2,  2,
   2,  1,  1,  2,  1,  1,  2,  2,  1,  2,  2,  2,  2,  2,  2,  3,  4,  4,  5,
   4,  5,  5,  4,  4,  9,  8,  8,  7,  6,  4,  4, 15, 13, 10,  8,  6,  4,  4,
   2,  1,  1,  2,  1,  1,  3,  2,  1,  1,  2,  1,  1,  3,  2,  2,  0,  1,  2,
   1,  5,  2,  3,  2,  3,  3,  3,  5,  6,  6,  6,  6,  5,  4,  5, 11, 10, 10,
   9,  6,  5,  5, 18, 15, 12,  9,  8,  6,  5,  2,  2,  2,  2,  2,  5,  7,  2,
   2,  3,  3,  3,  5,  7,  5,  2,  4,  4,  5,  5,  8,  8,  3,  7,  7,  8,  8,
   9, 12,  7, 10, 11, 11, 10,  9, 15, 13, 15, 15, 13, 12,  9, 21, 19, 17, 16,
  15, 13, 12,  5,  7,  8,  9,  9,  8, 11,  9,  7,  9, 10, 10, 10, 11, 11,  8,
  11, 11, 12, 12, 12, 14, 10, 15, 15, 15, 15, 13, 15, 16, 18, 19, 19, 18, 17,
  16, 22, 23, 22, 21, 20, 19, 21, 28, 27, 25, 23, 22, 21, 15, 16, 16, 16, 17,
  16, 11, 17, 18, 18, 18, 18, 17, 11, 17, 19, 20, 21, 21, 19, 15, 17, 23, 24,
  23, 24, 22, 19, 20, 29, 28, 28, 28, 25, 21, 24, 33, 34, 33, 31, 27, 23, 29,
  35, 37, 33, 32, 30, 24, 26, 27, 26, 26, 23, 18, 14, 25, 30, 28, 27, 24, 20,
  15, 26, 31, 31, 31, 26, 23, 19, 25, 33, 34, 35, 31, 26, 22, 28, 35, 40, 38,
  36, 29, 24, 32, 39, 45, 43, 37, 32, 26, 36, 41, 46, 46, 40, 34, 28, 34, 41,
  38, 32, 26, 22, 17, 34, 41, 41, 34, 27, 22, 19, 34, 40, 43, 37, 31, 26, 22,
  34, 41, 47, 41, 35, 30, 26, 36, 43, 49, 44, 40, 33, 28, 39, 45, 52, 51, 43,
  35, 30, 42, 48, 52, 51, 45, 38, 32,  2,  1,  2,  4,  3,  3,  3,  2,  1,  2,
   3,  3,  2,  1,  2,  2,  1,  2,  2,  1,  3,  2,  2,  2,  2,  3,  3,  4,  5,
   5,  5,  5,  5,  4,  4,  9,  9,  8,  8,  6,  4,  4, 15, 13, 10,  8,  7,  4,
   4,  2,  2,  1,  3,  3,  4,  6,  2,  2,  1,  2,  2,  3,  5,  2,  2,  1,  0,
   0,  3,  6,  4,  3,  3,  3,  3,  4,  7,  8,  6,  6,  7,  6,  4,  7, 12, 10,
  10,  9,  8,  7,  7, 19, 16, 12, 10, 10,  9,  7,  2,  2,  4,  5,  6,  7,  9,
   4,  2,  4,  6,  6,  6,  8,  7,  2,  4,  6,  7,  6,  9, 11,  3,  7, 10, 10,
  10, 10, 14,  8, 11, 14, 14, 13, 10, 18, 13, 15, 17, 15, 15, 10, 21, 18, 18,
  18, 17, 16, 14,  7,  7, 10, 11, 12, 10, 14, 11,  8, 11, 12, 13, 13, 13, 14,
   8, 12, 13, 14, 14, 13, 17, 12, 16, 17, 18, 18, 15, 17, 17, 20, 21, 22, 21,
  19, 18, 23, 26, 24, 23, 22, 21, 21, 29, 28, 27, 25, 23, 24, 17, 18, 19, 19,
  20, 20, 14, 20, 19, 21, 21, 21, 20, 13, 19, 20, 22, 23, 23, 22, 17, 20, 25,
  26, 27, 27, 26, 21, 22, 31, 30, 31, 32, 29, 23, 25, 35, 36, 35, 33, 30, 25,
  30, 37, 40, 37, 36, 32, 26, 27, 30, 29, 29, 26, 22, 18, 27, 32, 31, 30, 27,
  23, 18, 28, 34, 34, 33, 30, 25, 21, 27, 36, 39, 38, 33, 29, 25, 30, 39, 42,
  41, 37, 32, 27, 34, 41, 47, 46, 40, 34, 29, 38, 42, 49, 50, 43, 35, 30, 36,
  44, 41, 34, 29, 25, 20, 38, 43, 43, 36, 30, 26, 21, 38, 44, 47, 40, 34, 29,
  25, 37, 44, 50, 44, 38, 33, 29, 39, 45, 52, 50, 42, 36, 30, 42, 49, 54, 54,
  46, 37, 33, 47, 51, 56, 55, 49, 41, 34,  2,  1,  3,  6,  6,  4,  3,  2,  1,
   2,  5,  6,  3,  1,  2,  2,  1,  3,  4,  2,  2,  2,  2,  2,  3,  4,  4,  4,
   4,  5,  5,  5,  7,  5,  4,  9,  8,  8,  8,  7,  5,  4, 14, 12, 10,  7,  8,
   5,  4,  2,  2,  1,  3,  3,  4,  5,  2,  2,  1,  2,  2,  3,  4,  2,  2,  1,
   0,  0,  2,  4,  4,  3,  3,  3,  3,  3,  5,  8,  6,  6,  6,  6,  3,  5, 12,
  10, 10,  9,  8,  7,  5, 18, 15, 11,  9,  9,  8,  5,  2,  2,  4,  5,  5,  6,
   8,  5,  2,  3,  6,  6,  6,  7,  8,  2,  4,  6,  7,  4,  7, 12,  3,  7, 10,
  10,  9,  9, 15,  8, 10, 13, 14, 13,  9, 18, 12, 14, 17, 16, 14,  9, 21, 18,
  16, 18, 17, 16, 14,  9,  6, 10, 11, 12, 10, 13, 12,  7, 10, 12, 13, 12, 12,
  15,  8, 12, 13, 14, 14, 12, 16, 11, 15, 17, 17, 17, 14, 18, 16, 19, 21, 22,
  21, 17, 18, 22, 24, 24, 24, 22, 21, 20, 27, 27, 26, 25, 24, 23, 17, 17, 19,
  19, 20, 19, 13, 20, 19, 20, 20, 21, 20, 12, 20, 20, 22, 23, 23, 22, 16, 20,
  23, 26, 26, 27, 25, 21, 22, 29, 31, 31, 30, 28, 23, 25, 34, 37, 35, 33, 29,
  25, 29, 37, 40, 37, 35, 32, 26, 27, 30, 29, 29, 26, 22, 17, 26, 32, 31, 30,
  27, 22, 18, 26, 34, 34, 33, 29, 25, 21, 27, 35, 39, 37, 33, 29, 25, 30, 39,
  44, 41, 37, 32, 26, 34, 41, 48, 46, 39, 33, 29, 37, 44, 48, 48, 43, 36, 30,
  37, 42, 40, 33, 29, 25, 21, 37, 42, 42, 36, 29, 25, 21, 37, 42, 45, 38, 34,
  29, 24, 37, 44, 49, 43, 36, 33, 28, 38, 46, 50, 48, 42, 35, 30, 42, 49, 53,
  52, 45, 38, 32, 45, 49, 55, 55, 47, 40, 34,  1,  3,  5,  7,  7,  5,  3,  1,
   1,  4,  6,  6,  4,  2,  2,  1,  3,  5,  5,  3,  2,  2,  1,  2,  4,  6,  5,
   4,  4,  4,  4,  6,  8,  6,  4,  8,  7,  7,  8,  8,  6,  4, 13, 11,  9,  8,
   8,  6,  4,  1,  1,  3,  5,  4,  3,  4,  1,  1,  2,  4,  4,  2,  3,  2,  1,
   1,  3,  2,  0,  3,  2,  2,  2,  3,  3,  2,  4,  6,  5,  5,  6,  5,  4,  4,
  11,  9,  9,  8,  6,  4,  3, 16, 13, 10,  8,  7,  6,  3,  2,  1,  3,  4,  4,
   6,  7,  2,  2,  4,  4,  5,  5,  6,  5,  2,  3,  4,  4,  3,  5, 10,  3,  6,
   7,  7,  7,  7, 13,  7,  9, 11, 11, 10,  7, 16, 12, 13, 14, 12, 12,  7, 19,
  17, 15, 15, 14, 13, 12,  5,  6,  9, 10, 11,  9, 11, 11,  7,  9, 11, 11, 11,
  10, 14,  7, 11, 11, 11, 11, 10, 16, 10, 14, 14, 15, 15, 11, 17, 15, 18, 19,
  19, 18, 14, 16, 20, 22, 22, 20, 20, 18, 18, 25, 25, 24, 23, 21, 20, 15, 16,
  17, 18, 18, 17, 11, 19, 17, 19, 19, 20, 18, 10, 19, 19, 20, 20, 20, 18, 14,
  19, 22, 23, 23, 24, 22, 18, 21, 28, 28, 28, 28, 25, 20, 23, 31, 34, 32, 30,
  27, 23, 26, 34, 36, 35, 32, 29, 24, 26, 28, 27, 27, 24, 19, 16, 25, 30, 28,
  28, 25, 21, 16, 25, 32, 30, 29, 25, 22, 18, 25, 33, 34, 34, 30, 26, 22, 28,
  35, 40, 38, 34, 29, 23, 31, 40, 45, 41, 36, 30, 26, 35, 40, 44, 45, 39, 33,
  27, 36, 40, 37, 31, 25, 23, 19, 35, 40, 40, 33, 28, 23, 19, 35, 40, 42, 35,
  30, 26, 22, 34, 41, 45, 39, 32, 30, 26, 37, 43, 48, 44, 37, 33, 28, 38, 44,
  50, 49, 41, 35, 29, 42, 47, 49, 50, 44, 37, 31,  3,  5,  7,  9,  9,  7,  5,
   2,  5,  7,  8,  9,  6,  4,  1,  4,  6,  7,  8,  5,  3,  1,  1,  4,  6,  8,
   6,  5,  3,  3,  5,  6,  9,  7,  4,  7,  6,  7,  8,  8,  7,  4, 10,  9,  8,
   8,  8,  7,  5,  1,  4,  6,  8,  7,  5,  4,  1,  3,  5,  7,  6,  4,  2,  1,
   1,  5,  6,  4,  3,  0,  2,  1,  3,  4,  3,  3,  2,  4,  4,  4,  6,  5,  4,
   2,  9,  8,  7,  8,  6,  4,  2, 14, 11,  8,  8,  6,  4,  2,  1,  1,  3,  3,
   4,  5,  6,  2,  1,  3,  3,  3,  4,  5,  2,  1,  2,  2,  2,  2,  3,  4,  2,
   4,  4,  3,  3,  4,  9,  6,  7,  7,  7,  6,  4, 12, 10, 10,  9,  9,  8,  4,
  16, 13, 12, 11, 10,  9,  8,  2,  6,  7,  8,  8,  8,  9,  5,  6,  8,  8,  9,
   9,  8,  9,  6,  8,  9,  9,  9,  7, 12,  8, 11, 11, 10, 11,  8, 13, 13, 15,
  14, 15, 14, 12, 12, 17, 18, 17, 17, 15, 14, 16, 22, 21, 19, 19, 17, 16, 13,
  14, 15, 15, 16, 15,  9, 15, 15, 16, 17, 17, 16,  8, 15, 17, 18, 17, 17, 15,
  12, 15, 20, 20, 20, 20, 18, 15, 17, 25, 24, 25, 24, 21, 16, 20, 27, 29, 27,
  26, 23, 18, 23, 29, 32, 29, 28, 25, 20, 23, 25, 24, 23, 21, 17, 14, 24, 27,
  26, 25, 23, 18, 13, 23, 29, 28, 26, 22, 18, 14, 23, 30, 31, 29, 26, 22, 18,
  26, 32, 36, 33, 29, 25, 20, 29, 35, 39, 37, 32, 26, 21, 31, 36, 40, 39, 33,
  28, 23, 31, 37, 34, 28, 23, 20, 17, 32, 36, 35, 29, 25, 20, 16, 32, 37, 39,
  31, 25, 22, 17, 32, 36, 40, 35, 29, 26, 21, 33, 38, 43, 39, 33, 28, 23, 36,
  40, 43, 44, 36, 30, 25, 38, 42, 45, 45, 39, 32, 26,  2,  3,  7, 11, 11, 10,
   6,  2,  2,  6, 10, 11,  9,  3,  2,  2,  4,  7,  9,  6,  2,  2,  2,  2,  4,
   6,  4,  2,  2,  2,  2,  3,  5,  4,  2,  6,  6,  6,  5,  4,  4,  2, 11, 11,
   8,  6,  4,  4,  2,  2,  2,  4,  8,  9,  5,  2,  1,  2,  3,  6,  8,  3,  2,
   1,  2,  2,  4,  4,  2,  2,  0,  2,  2,  2,  2,  1,  2,  3,  3,  3,  3,  3,
   2,  2,  8,  7,  8,  7,  4,  3,  2, 15, 13, 10,  7,  5,  3,  2,  1,  2,  2,
   2,  2,  2,  2,  0,  2,  2,  2,  2,  2,  1,  1,  2,  2,  2,  1,  2,  0,  2,
   1,  1,  1,  1,  1,  2,  5,  4,  4,  4,  4,  3,  2, 11, 10,  9,  8,  6,  3,
   2, 17, 16, 12,  9,  6,  5,  3,  1,  1,  1,  1,  1,  2,  6,  1,  2,  3,  3,
   3,  3,  6,  3,  3,  3,  4,  4,  4,  6,  6,  6,  6,  6,  7,  7,  8,  6, 10,
  10, 10, 10, 10,  9, 11, 15, 15, 14, 12, 11, 10, 17, 21, 18, 16, 15, 13, 12,
   9,  9,  9, 10, 10,  9,  6, 11, 11, 11, 11, 11, 10,  6, 11, 12, 12, 12, 13,
  11,  7, 11, 16, 15, 15, 15, 14, 10, 14, 20, 19, 19, 20, 18, 12, 17, 23, 25,
  23, 22, 20, 14, 21, 27, 28, 26, 24, 22, 16, 18, 19, 19, 20, 16, 12,  7, 18,
  22, 21, 21, 18, 13,  9, 18, 23, 23, 23, 19, 15, 10, 18, 24, 27, 25, 22, 18,
  14, 20, 27, 30, 27, 26, 21, 16, 23, 28, 34, 31, 28, 24, 18, 27, 31, 35, 34,
  30, 25, 20, 26, 32, 29, 24, 20, 15, 10, 26, 31, 32, 26, 21, 16, 11, 26, 32,
  33, 28, 23, 18, 14, 25, 31, 36, 29, 26, 22, 18, 26, 31, 37, 34, 29, 25, 20,
  30, 34, 38, 36, 30, 26, 22, 31, 36, 37, 37, 32, 29, 24,  2,  3,  4,  4,  4,
   4,  3,  2,  3,  4,  4,  4,  3,  3,  1,  2,  3,  4,  4,  3,  1,  1,  1,  2,
   2,  2,  2,  2,  2,  2,  2,  2,  3,  2,  2,  6,  6,  6,  5,  3,  2,  2, 11,
  10,  7,  6,  4,  2,  2,  1,  3,  3,  4,  3,  3,  3,  1,  2,  3,  4,  3,  3,
   2,  1,  2,  3,  3,  3,  2,  1,  2,  0,  1,  2,  2,  1,  2,  3,  3,  3,  3,
   3,  2,  2,  8,  7,  7,  6,  4,  2,  2, 15, 12,  9,  7,  5,  3,  2,  1,  2,
   2,  3,  3,  3,  5,  2,  1,  2,  3,  3,  3,  5,  2,  1,  2,  2,  2,  2,  4,
   2,  1,  2,  2,  2,  2,  5,  6,  5,  5,  5,  5,  5,  5, 11, 10, 10,  9,  7,
   6,  5, 17, 15, 12, 10,  9,  7,  6,  2,  4,  5,  5,  6,  6,  9,  2,  5,  6,
   7,  7,  7,  8,  6,  6,  7,  7,  7,  8,  9,  9,  8,  9,  9,  9,  9,  9,  9,
  13, 13, 13, 13, 13, 11, 11, 18, 17, 16, 15, 14, 13, 17, 25, 20, 19, 17, 15,
  14, 12, 12, 13, 13, 14, 12,  9, 13, 14, 14, 14, 15, 13,  9, 13, 15, 16, 16,
  16, 14, 10, 13, 18, 18, 18, 18, 17, 13, 16, 23, 22, 22, 22, 20, 15, 20, 26,
  27, 26, 24, 22, 16, 24, 29, 31, 27, 26, 24, 17, 22, 23, 22, 22, 20, 15, 11,
  21, 25, 24, 24, 21, 16, 12, 21, 27, 26, 26, 21, 17, 13, 22, 27, 29, 27, 24,
  20, 16, 23, 29, 34, 32, 28, 23, 18, 26, 32, 39, 37, 32, 26, 20, 29, 35, 40,
  40, 34, 27, 22, 29, 36, 35, 28, 22, 18, 14, 29, 36, 38, 30, 24, 19, 15, 30,
  37, 39, 31, 25, 20, 17, 30, 34, 41, 34, 29, 24, 20, 29, 37, 42, 39, 34, 28,
  22, 32, 38, 44, 43, 37, 30, 24, 35, 41, 45, 46, 39, 32, 25,  2,  3,  4,  5,
   5,  5,  4,  2,  3,  4,  5,  5,  4,  3,  2,  2,  3,  4,  4,  2,  1,  2,  1,
   2,  2,  2,  1,  2,  3,  2,  2,  3,  3,  2,  2,  6,  6,  6,  5,  3,  2,  2,
  12, 10,  7,  5,  4,  2,  2,  2,  2,  3,  4,  4,  4,  5,  2,  2,  3,  4,  4,
   3,  4,  2,  2,  2,  3,  3,  2,  2,  2,  2,  0,  1,  2,  1,  3,  4,  3,  3,
   3,  3,  2,  4,  9,  8,  7,  6,  4,  2,  4, 16, 13,  9,  7,  5,  3,  3,  2,
   2,  3,  4,  5,  6,  8,  2,  2,  3,  4,  5,  5,  8,  2,  2,  3,  4,  4,  4,
   6,  5,  2,  4,  5,  5,  5,  7,  9,  5,  8,  8,  8,  7,  7, 12, 10, 12, 11,
  10,  9,  7, 17, 16, 15, 13, 11, 10,  9,  2,  6,  8,  9, 10,  9, 11,  5,  7,
   9, 10, 11, 11, 12,  9,  8, 10, 10, 10, 11, 11, 12,  9, 12, 12, 12, 13, 11,
  12, 14, 15, 15, 16, 16, 14, 13, 20, 21, 20, 18, 17, 16, 18, 26, 24, 22, 19,
  18, 17, 13, 15, 16, 17, 18, 17, 11, 15, 17, 17, 18, 19, 17, 11, 15, 18, 19,
  18, 19, 18, 13, 15, 22, 21, 20, 21, 20, 16, 17, 26, 26, 25, 25, 23, 17, 22,
  30, 31, 30, 27, 24, 19, 26, 33, 34, 32, 29, 26, 21, 25, 27, 26, 26, 23, 20,
  15, 24, 29, 28, 27, 24, 20, 16, 25, 31, 30, 30, 25, 20, 16, 24, 31, 32, 32,
  28, 23, 19, 26, 32, 36, 36, 32, 26, 21, 29, 35, 42, 41, 35, 28, 23, 33, 38,
  42, 42, 37, 30, 25, 33, 40, 37, 32, 27, 22, 18, 32, 39, 40, 33, 27, 22, 18,
  34, 40, 43, 35, 28, 23, 19, 33, 38, 44, 38, 32, 28, 23, 34, 40, 45, 43, 36,
  31, 25, 36, 43, 48, 47, 40, 33, 26, 38, 44, 49, 49, 42, 35, 28,  2,  3,  5,
   6,  6,  6,  4,  2,  3,  4,  6,  6,  4,  3,  2,  2,  3,  4,  4,  2,  1,  2,
   2,  1,  2,  2,  1,  2,  3,  2,  2,  3,  3,  2,  2,  7,  6,  6,  5,  4,  2,
   2, 12, 10,  8,  5,  4,  2,  2,  2,  3,  3,  5,  5,  6,  7,  2,  2,  3,  5,
   5,  4,  5,  2,  2,  3,  3,  3,  3,  4,  2,  2,  2,  0,  0,  2,  5,  5,  4,
   3,  4,  3,  3,  4,  9,  8,  7,  7,  5,  4,  5, 15, 13,  9,  8,  7,  5,  5,
   2,  2,  5,  6,  7,  8, 10,  2,  2,  5,  6,  7,  7,  9,  4,  2,  5,  6,  6,
   6,  8,  8,  2,  5,  7,  7,  7,  8, 11,  6,  8, 10, 11, 10,  8, 15, 11, 12,
  13, 12, 11,  8, 17, 15, 15, 16, 14, 13, 11,  4,  7, 11, 11, 12, 11, 14,  8,
   7, 11, 12, 13, 13, 14, 11,  8, 12, 13, 13, 13, 13, 14, 10, 14, 14, 15, 14,
  13, 14, 14, 17, 18, 18, 18, 16, 15, 20, 22, 21, 20, 19, 18, 17, 26, 25, 24,
  22, 21, 20, 15, 17, 18, 19, 20, 19, 14, 17, 19, 20, 21, 21, 20, 14, 17, 20,
  21, 22, 22, 20, 16, 17, 23, 24, 24, 23, 23, 19, 19, 27, 28, 28, 28, 26, 20,
  22, 31, 33, 32, 30, 27, 22, 27, 34, 37, 34, 32, 29, 23, 27, 29, 29, 28, 26,
  22, 18, 27, 32, 30, 30, 27, 22, 18, 27, 33, 33, 32, 28, 23, 18, 27, 33, 35,
  34, 30, 25, 21, 28, 36, 40, 38, 35, 29, 24, 31, 38, 45, 43, 36, 30, 26, 34,
  40, 45, 46, 39, 34, 27, 37, 42, 41, 35, 29, 25, 20, 36, 42, 43, 37, 30, 25,
  21, 36, 43, 45, 38, 31, 26, 22, 37, 42, 48, 41, 35, 30, 25, 37, 43, 49, 46,
  39, 33, 28, 38, 46, 51, 50, 42, 35, 30, 41, 47, 52, 53, 45, 38, 32,  2,  3,
   6,  9,  9,  7,  5,  2,  3,  5,  8,  9,  6,  3,  2,  2,  3,  6,  7,  4,  1,
   2,  1,  1,  3,  5,  3,  2,  3,  2,  2,  3,  5,  3,  2,  6,  6,  6,  5,  5,
   4,  2, 11,  9,  7,  5,  5,  3,  2,  2,  2,  3,  7,  6,  6,  7,  2,  2,  3,
   5,  6,  5,  5,  2,  2,  3,  3,  3,  3,  4,  2,  2,  2,  0,  0,  1,  4,  5,
   3,  3,  3,  3,  2,  4,  9,  7,  7,  6,  5,  4,  4, 14, 11,  8,  7,  6,  5,
   4,  1,  2,  5,  6,  7,  8,  9,  2,  2,  5,  6,  7,  7,  8,  5,  2,  4,  6,
   6,  5,  7,  8,  2,  5,  7,  7,  7,  7, 12,  5,  8, 10, 11, 10,  7, 15, 11,
  11, 13, 12, 11,  7, 16, 14, 13, 14, 14, 13, 11,  5,  6, 10, 11, 12, 11, 13,
   9,  7, 11, 12, 13, 13, 12, 11,  7, 11, 12, 13, 13, 11, 14,  9, 13, 14, 14,
  14, 12, 15, 14, 17, 19, 19, 18, 15, 14, 18, 21, 22, 21, 19, 18, 16, 23, 23,
  22, 22, 21, 20, 15, 16, 18, 19, 20, 19, 14, 18, 18, 20, 21, 21, 20, 13, 18,
  19, 21, 22, 21, 19, 15, 17, 22, 24, 24, 23, 22, 18, 19, 26, 28, 27, 28, 25,
  20, 21, 30, 32, 31, 30, 27, 22, 24, 34, 36, 34, 32, 29, 23, 26, 29, 29, 29,
  26, 22, 17, 26, 31, 31, 30, 27, 22, 17, 26, 33, 33, 32, 27, 22, 18, 26, 33,
  35, 34, 30, 25, 21, 28, 35, 39, 38, 35, 29, 24, 31, 37, 44, 42, 37, 31, 25,
  34, 38, 44, 45, 39, 34, 27, 36, 42, 41, 33, 29, 25, 20, 37, 43, 43, 36, 30,
  25, 21, 36, 42, 45, 38, 31, 26, 22, 36, 42, 46, 41, 34, 29, 25, 37, 43, 48,
  45, 39, 33, 27, 38, 46, 51, 50, 42, 35, 29, 40, 47, 51, 51, 43, 36, 31,  3,
   4,  6,  8,  8,  6,  4,  3,  3,  5,  7,  7,  5,  3,  2,  3,  4,  6,  6,  4,
   2,  1,  1,  2,  4,  5,  3,  2,  2,  2,  2,  4,  6,  4,  2,  6,  5,  5,  5,
   6,  4,  2,  9,  7,  5,  5,  6,  4,  2,  2,  3,  4,  6,  5,  6,  6,  2,  3,
   4,  5,  5,  4,  4,  1,  2,  3,  4,  3,  2,  3,  1,  1,  1,  2,  1,  0,  3,
   4,  3,  3,  3,  3,  2,  3,  8,  6,  5,  5,  3,  2,  2, 11,  8,  6,  5,  5,
   4,  3,  1,  2,  5,  5,  6,  8,  9,  2,  2,  5,  6,  6,  6,  7,  3,  1,  5,
   5,  5,  5,  6,  8,  1,  4,  5,  5,  5,  5, 11,  5,  7,  9,  9,  8,  5, 12,
   9,  9, 11, 10,  9,  5, 13, 11, 10, 12, 11, 11, 10,  3,  6, 10, 11, 11, 11,
  12,  8,  7, 11, 12, 12, 12, 11, 11,  7, 11, 12, 12, 12, 10, 14,  8, 12, 13,
  13, 13, 10, 15, 13, 15, 17, 17, 16, 13, 12, 16, 18, 19, 18, 18, 16, 13, 19,
  21, 20, 19, 19, 18, 14, 16, 18, 19, 20, 19, 13, 17, 18, 19, 20, 20, 19, 12,
  17, 18, 21, 20, 20, 19, 15, 17, 21, 22, 22, 23, 21, 17, 19, 26, 26, 26, 25,
  24, 18, 20, 28, 30, 29, 27, 25, 20, 21, 29, 32, 30, 29, 27, 21, 25, 28, 28,
  28, 24, 21, 17, 26, 30, 29, 29, 26, 21, 17, 26, 32, 31, 29, 26, 21, 18, 25,
  32, 34, 31, 27, 24, 20, 28, 33, 38, 35, 31, 27, 22, 29, 35, 41, 39, 33, 28,
  24, 30, 36, 42, 40, 36, 31, 26, 35, 40, 39, 32, 27, 23, 19, 35, 40, 41, 34,
  29, 24, 20, 36, 41, 43, 35, 29, 25, 20, 36, 39, 43, 38, 33, 28, 23, 35, 42,
  45, 42, 36, 30, 26, 38, 43, 47, 45, 39, 32, 27, 38, 43, 47, 47, 41, 33, 29,
   4,  7,  8, 11, 10,  9,  6,  4,  6,  8, 10, 10,  7,  5,  3,  5,  7,  8,  9,
   6,  3,  3,  3,  5,  7,  8,  5,  3,  1,  0,  3,  5,  7,  5,  3,  2,  2,  4,
   5,  7,  5,  3,  4,  3,  3,  4,  6,  5,  3,  4,  5,  7,  9,  8,  6,  7,  3,
   4,  6,  8,  7,  5,  4,  2,  3,  5,  7,  5,  3,  2,  2,  2,  3,  5,  4,  3,
   0,  1,  1,  2,  4,  3,  2,  0,  4,  3,  3,  4,  2,  2,  0,  7,  4,  3,  3,
   3,  1,  0,  3,  4,  4,  5,  7,  8,  8,  2,  3,  5,  6,  6,  6,  6,  2,  3,
   5,  4,  4,  4,  5,  3,  2,  3,  3,  2,  3,  3,  6,  2,  4,  4,  4,  4,  3,
   7,  4,  5,  5,  5,  5,  3,  8,  6,  6,  7,  6,  6,  6,  2,  7,  8,  8,  9,
  10, 11,  3,  7,  9,  9, 10, 10,  9,  8,  7,  9,  9, 10, 10,  8, 11,  7, 10,
  10, 10, 10,  7, 10,  9, 11, 11, 12, 11, 11,  7, 11, 13, 13, 13, 13, 12,  8,
  14, 15, 15, 14, 14, 14, 12, 15, 15, 16, 17, 16, 11, 14, 16, 17, 18, 17, 15,
   9, 14, 18, 18, 18, 18, 16, 12, 14, 20, 19, 18, 18, 17, 13, 14, 21, 22, 21,
  20, 18, 14, 14, 22, 24, 23, 22, 20, 15, 16, 22, 27, 25, 23, 21, 17, 24, 27,
  24, 24, 22, 18, 14, 24, 28, 27, 26, 23, 18, 14, 24, 29, 29, 26, 22, 19, 15,
  24, 30, 30, 27, 24, 20, 15, 23, 30, 32, 30, 25, 21, 17, 24, 30, 36, 33, 27,
  23, 19, 25, 30, 35, 34, 30, 25, 20, 32, 37, 34, 29, 24, 20, 17, 33, 37, 37,
  30, 26, 21, 16, 32, 38, 39, 32, 26, 22, 17, 32, 37, 40, 33, 27, 23, 19, 31,
  37, 40, 36, 30, 24, 20, 31, 37, 41, 38, 32, 27, 21, 33, 36, 42, 40, 34, 28,
  23,  5,  7, 10, 14, 14, 11,  8,  5,  6,  9, 13, 14, 11,  8,  4,  6,  8, 11,
  13, 10,  6,  4,  4,  5,  8, 11,  8,  2,  2,  2,  2,  4,  6,  6,  2,  3,  3,
   3,  3,  5,  6,  2,  9,  8,  5,  3,  4,  6,  2,  4,  6,  8, 11, 11,  8,  6,
   4,  5,  7,  9, 10,  7,  5,  3,  5,  6,  8,  8,  6,  4,  3,  3,  4,  5,  5,
   4,  1,  0,  2,  2,  2,  2,  2,  1,  5,  5,  5,  4,  2,  2,  1, 12, 10,  7,
   5,  2,  2,  1,  4,  5,  5,  6,  7,  6,  5,  3,  4,  5,  5,  5,  5,  5,  2,
   4,  4,  4,  4,  4,  4,  2,  2,  2,  3,  3,  3,  1,  2,  2,  2,  2,  2,  1,
   1,  8,  7,  7,  5,  3,  1,  1, 14, 14,  9,  6,  4,  1,  1,  2,  4,  4,  5,
   5,  6,  6,  2,  3,  5,  5,  5,  5,  6,  2,  3,  4,  5,  5,  5,  6,  3,  4,
   4,  4,  5,  5,  6,  3,  7,  7,  7,  7,  7,  6,  8, 13, 12, 11,  9,  8,  8,
  14, 18, 15, 13, 11, 10,  9,  9,  9, 10, 10, 11,  9,  6, 10, 11, 11, 11, 12,
  10,  6, 10, 12, 12, 12, 13, 12,  7, 10, 14, 13, 13, 14, 12,  8, 11, 17, 17,
  16, 16, 15,  9, 14, 19, 21, 20, 19, 16, 11, 18, 22, 24, 21, 20, 19, 13, 17,
  20, 20, 20, 17, 12,  8, 18, 22, 21, 21, 18, 13,  9, 17, 23, 23, 22, 19, 15,
  10, 18, 22, 24, 23, 20, 16, 11, 17, 23, 26, 24, 22, 19, 13, 19, 25, 28, 27,
  23, 20, 15, 22, 26, 29, 27, 24, 21, 17, 25, 30, 28, 25, 20, 15, 11, 26, 30,
  31, 26, 22, 16, 12, 26, 31, 33, 27, 22, 18, 13, 26, 30, 33, 27, 23, 19, 15,
  24, 29, 32, 29, 24, 21, 17, 25, 28, 32, 31, 26, 22, 19, 27, 30, 32, 32, 28,
  23, 20,  5,  6,  7,  8,  8,  7,  7,  5,  6,  7,  8,  8,  7,  6,  4,  5,  6,
   7,  7,  5,  4,  3,  4,  5,  5,  5,  3,  2,  1,  2,  2,  2,  3,  2,  1,  3,
   3,  3,  2,  3,  2,  1,  9,  7,  5,  3,  2,  2,  2,  4,  5,  7,  7,  7,  7,
   7,  4,  5,  6,  7,  7,  6,  5,  3,  4,  6,  6,  6,  5,  4,  3,  3,  3,  4,
   3,  3,  1,  2,  0,  2,  2,  2,  1,  1,  5,  4,  4,  3,  1,  2,  1, 12,  9,
   6,  4,  2,  1,  1,  3,  5,  5,  6,  7,  7,  8,  3,  4,  5,  6,  6,  6,  7,
   2,  3,  4,  5,  5,  5,  5,  3,  2,  2,  2,  2,  2,  3,  3,  2,  2,  2,  2,
   2,  3,  8,  7,  6,  5,  4,  3,  3, 14, 12,  9,  7,  5,  4,  4,  3,  5,  6,
   7,  8,  9, 10,  2,  5,  6,  7,  8,  8,  9,  3,  6,  6,  6,  7,  7,  8,  6,
   6,  7,  7,  7,  8,  8,  6, 10,  9, 10, 10,  9,  9,  8, 15, 14, 13, 12, 10,
  10, 14, 21, 18, 15, 13, 12, 11, 11, 12, 12, 13, 14, 13, 10, 12, 14, 14, 14,
  15, 14,  9, 12, 15, 15, 15, 15, 14,  9, 13, 17, 16, 15, 16, 15, 11, 13, 20,
  19, 19, 19, 17, 12, 17, 22, 24, 23, 20, 18, 13, 21, 26, 28, 25, 23, 21, 15,
  21, 22, 21, 23, 20, 16, 11, 21, 24, 24, 24, 21, 16, 12, 21, 26, 27, 25, 22,
  17, 12, 21, 26, 27, 26, 22, 17, 13, 20, 26, 29, 29, 25, 20, 15, 22, 28, 35,
  34, 28, 22, 17, 25, 33, 36, 36, 31, 25, 18, 29, 36, 35, 28, 22, 19, 14, 29,
  35, 37, 29, 24, 19, 15, 30, 36, 39, 30, 25, 20, 15, 29, 35, 39, 32, 26, 21,
  17, 28, 34, 38, 36, 31, 24, 19, 29, 35, 41, 40, 32, 27, 21, 32, 37, 43, 41,
  35, 28, 23,  5,  7,  8,  9,  9,  9,  8,  5,  6,  7,  9,  9,  7,  6,  4,  5,
   7,  7,  7,  5,  4,  4,  4,  4,  5,  5,  3,  1,  2,  1,  2,  2,  2,  2,  1,
   3,  3,  3,  2,  2,  2,  1,  8,  7,  4,  2,  2,  2,  1,  4,  5,  7,  8,  8,
   8,  8,  4,  5,  7,  8,  8,  7,  7,  4,  5,  6,  6,  6,  5,  4,  3,  3,  3,
   4,  3,  3,  2,  2,  2,  0,  1,  1,  1,  2,  5,  4,  4,  3,  1,  1,  2, 12,
   9,  6,  3,  2,  1,  2,  4,  5,  6,  7,  8, 10, 10,  3,  4,  6,  7,  8,  8,
   9,  3,  4,  6,  6,  6,  6,  7,  3,  3,  4,  4,  4,  5,  6,  5,  2,  4,  5,
   5,  4,  5,  9,  7,  9,  8,  6,  5,  6, 14, 12, 11,  9,  8,  7,  7,  3,  7,
   8,  9, 10, 12, 12,  3,  7,  9, 10, 10, 10, 11,  7,  8,  9, 10, 10, 10, 11,
  10,  7, 10, 10, 10, 10, 10,  9, 11, 12, 12, 12, 12, 11,  9, 16, 17, 15, 14,
  13, 13, 14, 22, 20, 18, 16, 15, 14, 13, 15, 15, 16, 17, 16, 12, 14, 16, 17,
  17, 18, 16, 11, 14, 18, 19, 18, 17, 17, 13, 14, 19, 19, 19, 19, 17, 13, 14,
  23, 21, 21, 20, 19, 14, 18, 25, 27, 25, 23, 21, 16, 23, 28, 31, 28, 25, 23,
  18, 24, 25, 26, 26, 22, 18, 14, 23, 29, 26, 28, 24, 19, 15, 24, 29, 30, 28,
  24, 20, 15, 24, 29, 30, 30, 26, 20, 16, 23, 29, 33, 32, 28, 23, 17, 26, 31,
  38, 37, 30, 24, 19, 28, 34, 39, 38, 33, 26, 21, 33, 39, 38, 31, 26, 20, 17,
  33, 39, 41, 32, 27, 22, 17, 33, 40, 42, 34, 27, 23, 18, 33, 38, 43, 36, 29,
  24, 19, 31, 37, 42, 39, 33, 28, 21, 32, 37, 44, 44, 35, 29, 23, 34, 41, 45,
  45, 38, 32, 25,  5,  6,  9, 10, 10,  9,  8,  5,  6,  8,  9,  9,  8,  6,  4,
   5,  7,  8,  7,  6,  4,  4,  4,  4,  5,  6,  4,  2,  2,  2,  2,  2,  3,  2,
   1,  3,  3,  3,  2,  2,  2,  1,  8,  7,  4,  2,  2,  2,  1,  4,  6,  7,  9,
   9,  9, 10,  4,  5,  6,  8,  9,  8,  8,  4,  5,  6,  6,  6,  6,  6,  3,  3,
   3,  4,  3,  3,  3,  2,  2,  2,  0,  0,  1,  4,  6,  5,  4,  3,  2,  2,  4,
  11,  8,  6,  4,  3,  2,  4,  4,  5,  7,  9, 10, 11, 12,  3,  4,  8,  9,  9,
  10, 10,  3,  4,  7,  8,  8,  8,  8,  6,  3,  5,  6,  6,  6,  7,  8,  3,  5,
   7,  7,  6,  7, 11,  7,  9, 10,  8,  8,  7, 13, 11, 11, 12, 10,  9,  9,  3,
   8, 10, 11, 12, 13, 14,  6,  8, 11, 12, 13, 13, 13,  9,  8, 11, 12, 13, 12,
  13, 12,  8, 12, 12, 13, 13, 11, 11, 11, 14, 14, 15, 14, 14, 11, 16, 18, 18,
  16, 16, 16, 13, 20, 21, 20, 18, 17, 17, 13, 17, 18, 19, 19, 19, 15, 16, 18,
  19, 20, 21, 19, 13, 15, 19, 21, 21, 21, 19, 15, 16, 21, 22, 21, 22, 20, 15,
  15, 24, 25, 24, 24, 22, 17, 19, 27, 29, 28, 26, 23, 18, 22, 28, 32, 30, 29,
  25, 20, 26, 29, 28, 28, 26, 22, 17, 27, 31, 31, 30, 26, 22, 17, 26, 34, 33,
  32, 27, 22, 18, 26, 33, 34, 32, 27, 23, 18, 25, 32, 36, 35, 31, 25, 20, 27,
  35, 40, 39, 33, 28, 22, 30, 36, 41, 42, 35, 30, 24, 37, 42, 40, 34, 28, 24,
  20, 36, 43, 43, 35, 30, 23, 20, 36, 42, 45, 37, 31, 24, 20, 36, 41, 46, 39,
  32, 26, 22, 35, 40, 45, 42, 34, 30, 24, 35, 42, 47, 46, 38, 32, 25, 38, 43,
  48, 48, 41, 34, 27,  5,  6,  9, 12, 13, 10,  8,  5,  6,  8, 12, 12,  9,  6,
   4,  5,  7,  9, 10,  7,  3,  4,  4,  4,  6,  8,  5,  2,  2,  1,  1,  3,  6,
   4,  1,  3,  2,  2,  2,  4,  4,  1,  5,  3,  2,  2,  3,  4,  1,  4,  5,  7,
  10, 10,  9,  9,  4,  5,  6,  9,  9,  7,  7,  3,  4,  5,  7,  6,  5,  5,  3,
   3,  3,  3,  3,  3,  3,  2,  2,  1,  0,  0,  1,  3,  4,  3,  2,  2,  2,  1,
   3,  7,  4,  3,  2,  3,  2,  3,  4,  5,  7,  8, 10, 11, 11,  3,  4,  7,  9,
   9,  9,  9,  3,  4,  7,  7,  7,  7,  8,  7,  2,  4,  6,  6,  6,  6,  9,  2,
   5,  7,  7,  7,  6,  9,  4,  6,  9,  9,  8,  6,  9,  7,  7, 10,  9,  9,  9,
   3,  7, 11, 11, 12, 13, 14,  8,  7, 11, 12, 13, 13, 13, 11,  8, 12, 12, 13,
  12, 12, 12,  7, 12, 13, 13, 13, 11, 12, 10, 14, 14, 15, 15, 14, 10, 12, 15,
  16, 16, 16, 15,  9, 15, 18, 18, 17, 17, 17, 14, 17, 18, 19, 20, 20, 14, 16,
  18, 20, 20, 21, 19, 13, 16, 19, 21, 21, 21, 19, 15, 16, 21, 21, 22, 22, 20,
  16, 15, 24, 24, 24, 24, 22, 17, 16, 24, 28, 27, 26, 23, 18, 18, 27, 30, 28,
  27, 25, 20, 27, 30, 28, 28, 25, 22, 18, 26, 31, 30, 31, 27, 22, 17, 26, 34,
  33, 31, 26, 22, 18, 26, 32, 34, 32, 28, 23, 18, 25, 32, 37, 35, 31, 26, 20,
  26, 33, 39, 38, 32, 28, 22, 27, 34, 40, 40, 35, 29, 24, 37, 43, 40, 34, 30,
  24, 21, 37, 42, 43, 36, 30, 25, 20, 37, 42, 45, 36, 30, 26, 21, 36, 41, 46,
  38, 31, 27, 22, 35, 41, 44, 40, 34, 28, 24, 36, 42, 46, 45, 38, 31, 26, 35,
  41, 46, 45, 40, 33, 28,  4,  5,  6,  8,  8,  7,  6,  4,  4,  5,  8,  8,  5,
   4,  3,  4,  5,  6,  6,  4,  2,  3,  3,  3,  4,  6,  3,  1,  2,  1,  0,  2,
   5,  3,  1,  2,  2,  2,  3,  4,  3,  1,  4,  3,  2,  3,  3,  3,  1,  4,  4,
   5,  6,  6,  7,  8,  3,  4,  5,  6,  6,  6,  6,  3,  4,  4,  4,  3,  4,  4,
   2,  2,  2,  3,  2,  2,  2,  2,  1,  1,  1,  1,  0,  2,  3,  2,  2,  2,  1,
   1,  2,  7,  4,  2,  2,  3,  2,  2,  3,  4,  6,  7,  8,  9, 10,  2,  3,  6,
   7,  7,  8,  9,  3,  3,  6,  6,  6,  6,  7,  7,  2,  4,  6,  6,  5,  5,  9,
   2,  4,  6,  7,  7,  5, 10,  4,  5,  7,  8,  8,  5,  9,  7,  6,  8,  9,  9,
   9,  3,  7, 10, 11, 12, 12, 13,  8,  7, 11, 12, 13, 12, 12, 12,  8, 12, 12,
  12, 12, 11, 14,  7, 11, 13, 13, 13, 10, 14, 10, 12, 14, 14, 14, 13, 11, 12,
  14, 15, 16, 16, 15,  9, 15, 16, 17, 17, 17, 17, 14, 17, 19, 19, 20, 19, 13,
  17, 18, 19, 20, 20, 19, 12, 17, 19, 20, 21, 20, 19, 15, 17, 21, 21, 21, 22,
  20, 15, 16, 22, 24, 24, 23, 22, 17, 15, 23, 26, 26, 24, 22, 18, 16, 24, 28,
  27, 26, 24, 20, 26, 29, 28, 28, 25, 21, 17, 26, 31, 30, 30, 26, 22, 17, 26,
  33, 32, 31, 26, 22, 17, 26, 32, 33, 32, 27, 23, 18, 25, 32, 35, 33, 30, 25,
  20, 26, 33, 38, 36, 30, 26, 21, 26, 33, 38, 39, 33, 27, 23, 36, 41, 38, 32,
  27, 24, 20, 35, 41, 42, 34, 29, 25, 20, 35, 41, 44, 36, 30, 25, 20, 35, 40,
  45, 37, 31, 26, 22, 35, 40, 44, 40, 33, 27, 23, 34, 40, 44, 43, 36, 30, 25,
  35, 40, 45, 45, 37, 31, 25,  4,  6,  9, 11, 10,  9,  6,  4,  6,  8, 10, 10,
   7,  4,  3,  5,  7,  8,  9,  6,  4,  3,  3,  5,  7,  8,  5,  3,  1,  0,  3,
   5,  7,  5,  3,  2,  2,  4,  5,  7,  5,  3,  4,  3,  3,  4,  6,  5,  3,  4,
   5,  7,  9,  8,  7,  6,  3,  4,  6,  8,  7,  5,  4,  3,  4,  5,  6,  5,  3,
   2,  2,  2,  4,  5,  4,  3,  0,  1,  1,  2,  3,  3,  2,  0,  3,  2,  3,  4,
   2,  2,  0,  6,  4,  3,  3,  2,  1,  0,  3,  4,  4,  5,  7,  8,  8,  2,  3,
   5,  6,  6,  6,  6,  2,  3,  5,  4,  4,  4,  5,  3,  2,  3,  3,  3,  3,  3,
   6,  2,  4,  4,  4,  4,  3,  7,  4,  5,  5,  5,  5,  3,  9,  7,  6,  6,  6,
   6,  6,  2,  7,  8,  9,  9, 10, 11,  3,  7,  9,  9, 10, 10,  9,  8,  7,  9,
   9, 10,  9,  8, 11,  7, 10, 10,  9, 10,  7, 10,  9, 11, 11, 12, 11, 10,  8,
  11, 13, 13, 13, 13, 12,  8, 14, 15, 15, 14, 14, 13, 13, 15, 16, 16, 16, 16,
  11, 14, 17, 17, 17, 18, 16, 10, 14, 18, 18, 18, 18, 16, 12, 14, 20, 19, 18,
  18, 17, 13, 14, 21, 21, 20, 20, 18, 14, 15, 22, 24, 23, 21, 19, 15, 16, 23,
  26, 24, 24, 20, 17, 24, 25, 24, 24, 21, 18, 14, 24, 28, 27, 25, 22, 18, 14,
  24, 30, 29, 27, 22, 19, 15, 23, 29, 30, 27, 23, 20, 15, 23, 29, 32, 30, 26,
  22, 17, 24, 30, 36, 33, 28, 23, 18, 25, 30, 35, 35, 29, 25, 20, 32, 37, 34,
  29, 23, 20, 17, 32, 37, 36, 30, 25, 21, 17, 33, 37, 39, 31, 26, 22, 17, 32,
  37, 40, 33, 27, 23, 18, 31, 38, 39, 36, 29, 25, 20, 31, 36, 40, 39, 32, 26,
  20, 32, 36, 41, 40, 34, 28, 23, 10, 12, 14, 17, 18, 16, 13, 10, 11, 13, 17,
  17, 14, 12,  9, 11, 12, 14, 15, 12, 10,  9,  9, 10, 11, 14,  9,  4,  6,  7,
   7,  8,  8,  7,  4,  2,  2,  3,  3,  6,  7,  4,  5,  4,  2,  3,  5,  8,  4,
   9, 11, 12, 15, 15, 14, 12,  9, 10, 12, 14, 14, 12, 11,  8, 10, 11, 12, 12,
  11,  9,  8,  8,  9,  9,  9,  8,  3,  5,  5,  5,  5,  4,  4,  3,  0,  2,  2,
   2,  3,  3,  3,  8,  6,  3,  2,  2,  3,  3,  8, 10, 11, 11, 13, 13, 12,  8,
   9, 11, 11, 12, 12, 11,  7,  8, 10, 10, 10, 10,  9,  7,  7,  7,  7,  8,  7,
   4,  3,  3,  4,  4,  3,  3,  3,  3,  2,  2,  1,  2,  2,  3,  9,  9,  5,  2,
   1,  3,  3,  7,  9, 10, 11, 12, 13, 13,  7,  8, 10, 11, 12, 12, 12,  6,  8,
   9, 10, 10, 10, 10,  4,  7,  7,  7,  7,  7,  5,  2,  3,  4,  4,  4,  4,  5,
   3,  8,  7,  7,  6,  6,  6,  9, 13, 11,  9,  7,  7,  8,  7,  8,  9, 11, 12,
  13, 13,  8,  9,  9, 10, 11, 11, 12,  8, 10, 11, 11, 11,  9,  9,  9, 12, 12,
  11, 12, 11,  6,  8, 13, 13, 14, 14, 13,  8,  9, 15, 16, 15, 15, 15, 10, 13,
  17, 18, 16, 16, 16, 12, 16, 18, 19, 19, 15, 12, 13, 16, 20, 20, 20, 16, 12,
  11, 16, 22, 22, 21, 18, 12,  9, 16, 21, 21, 21, 19, 14, 10, 15, 21, 22, 21,
  18, 16, 12, 16, 20, 22, 21, 19, 16, 13, 17, 21, 23, 22, 20, 17, 15, 24, 28,
  27, 23, 18, 14, 12, 24, 28, 28, 24, 20, 15, 10, 24, 28, 30, 23, 21, 16, 11,
  24, 27, 29, 25, 20, 18, 13, 22, 26, 28, 25, 20, 18, 15, 22, 25, 27, 26, 20,
  18, 16, 22, 24, 27, 28, 22, 19, 16,  9, 11, 12, 13, 13, 13, 12,  9, 10, 12,
  13, 13, 11, 10,  8, 10, 11, 11, 11, 10,  8,  8,  8,  9,  9,  9,  6,  3,  5,
   6,  6,  6,  4,  3,  2,  2,  2,  2,  2,  3,  3,  3,  4,  3,  2,  2,  3,  3,
   3,  8, 10, 11, 12, 13, 13, 12,  8,  9, 10, 12, 12, 11, 10,  7,  9, 10, 10,
  10,  9,  7,  7,  7,  7,  8,  7,  6,  2,  5,  4,  4,  5,  3,  2,  2,  2,  0,
   1,  2,  2,  2,  2,  7,  5,  2,  2,  2,  2,  2,  8,  9, 10, 11, 12, 13, 13,
   7,  8, 10, 11, 11, 11, 11,  7,  8,  9,  9,  9,  9,  8,  7,  7,  6,  6,  7,
   6,  4,  3,  3,  3,  3,  2,  3,  3,  3,  3,  2,  2,  2,  3,  3,  9,  8,  5,
   3,  3,  3,  4,  7,  9, 10, 11, 13, 14, 14,  7,  9, 10, 11, 12, 12, 12,  5,
   9, 10, 10, 10, 10,  9,  6,  8,  7,  7,  8,  7,  7,  4,  6,  7,  7,  7,  7,
   8,  3, 10, 10,  9,  9,  9,  9,  9, 16, 13, 11, 10, 10, 11, 10, 11, 11, 12,
  13, 14, 14, 10, 12, 13, 13, 14, 12, 12, 11, 14, 14, 14, 14, 12,  9, 11, 15,
  15, 15, 15, 13,  9, 10, 17, 16, 16, 17, 15, 11, 12, 18, 20, 18, 18, 16, 12,
  16, 21, 23, 20, 20, 18, 14, 19, 21, 21, 21, 18, 15, 14, 20, 23, 23, 23, 19,
  15, 12, 19, 25, 25, 24, 20, 15, 11, 19, 25, 26, 25, 21, 17, 12, 18, 23, 29,
  27, 23, 18, 14, 19, 25, 31, 30, 25, 20, 15, 21, 27, 32, 32, 27, 22, 17, 29,
  34, 33, 27, 21, 17, 14, 28, 34, 36, 29, 23, 18, 13, 28, 34, 39, 30, 24, 19,
  14, 28, 34, 38, 30, 25, 20, 15, 27, 33, 39, 35, 28, 22, 17, 26, 32, 37, 37,
  29, 24, 18, 27, 33, 36, 37, 32, 26, 20,  9, 11, 12, 13, 13, 13, 12,  9, 10,
  11, 13, 13, 11, 10,  8,  9, 11, 11, 10,  9,  7,  8,  8,  8,  9,  8,  6,  2,
   6,  5,  5,  5,  4,  2,  2,  2,  2,  2,  2,  2,  2,  2,  4,  3,  1,  2,  2,
   2,  2,  8, 10, 11, 12, 13, 13, 13,  8,  9, 10, 12, 12, 11, 10,  8,  8, 10,
  10,  9,  9,  7,  8,  7,  7,  7,  7,  5,  3,  5,  4,  4,  4,  2,  2,  2,  2,
   1,  0,  2,  2,  2,  2,  6,  4,  2,  1,  2,  2,  3,  8,  9, 10, 11, 13, 14,
  15,  8,  8, 10, 12, 12, 12, 12,  7,  8, 10, 10, 10, 10,  9,  6,  7,  8,  8,
   8,  6,  5,  4,  3,  5,  5,  4,  4,  5,  5,  3,  5,  4,  4,  4,  5,  7,  6,
   7,  6,  5,  5,  5,  8, 11, 12, 13, 14, 16, 15,  6, 10, 12, 13, 14, 14, 13,
   6, 10, 12, 11, 11, 11, 10,  9,  9,  9,  9,  9,  9,  9,  7,  7,  9, 10, 10,
  10, 11,  5, 12, 12, 12, 12, 12, 12,  7, 15, 15, 14, 13, 13, 13, 11, 14, 15,
  15, 16, 16, 16, 13, 15, 16, 16, 16, 15, 13, 12, 16, 17, 17, 17, 15, 12, 13,
  18, 18, 18, 18, 17, 13, 12, 19, 19, 19, 19, 18, 13, 13, 22, 23, 22, 20, 19,
  15, 17, 22, 26, 24, 22, 21, 16, 22, 24, 25, 24, 22, 18, 16, 22, 26, 26, 27,
  23, 18, 13, 22, 29, 28, 27, 23, 18, 14, 22, 27, 28, 28, 24, 19, 15, 22, 28,
  31, 31, 26, 21, 16, 22, 28, 34, 32, 27, 22, 18, 24, 29, 35, 36, 30, 24, 20,
  32, 38, 37, 29, 24, 21, 16, 31, 38, 38, 32, 26, 21, 16, 31, 37, 41, 32, 27,
  21, 17, 31, 37, 42, 34, 28, 23, 18, 30, 35, 42, 38, 30, 24, 19, 29, 35, 41,
  40, 33, 26, 21, 30, 36, 40, 41, 34, 28, 22,  8,  9, 11, 12, 13, 12, 11,  8,
   9, 11, 12, 12, 11,  9,  7,  8, 10, 10, 10,  8,  6,  7,  7,  7,  8,  8,  5,
   2,  5,  4,  4,  5,  3,  2,  2,  2,  2,  1,  2,  2,  2,  2,  3,  2,  1,  1,
   2,  2,  2,  8,  8, 10, 12, 12, 12, 13,  7,  8,  9, 11, 12, 10, 10,  7,  8,
   9, 10,  9,  8,  8,  6,  6,  6,  7,  6,  5,  4,  4,  3,  3,  3,  2,  2,  4,
   2,  2,  2,  0,  1,  2,  4,  5,  3,  2,  1,  2,  3,  4,  7,  8, 10, 11, 13,
  14, 15,  6,  7, 10, 12, 12, 13, 12,  6,  7, 10, 10, 10, 10, 10,  5,  6,  7,
   8,  8,  7,  6,  6,  2,  4,  5,  5,  6,  6,  7,  2,  5,  6,  6,  7,  6,  6,
   5,  6,  8,  7,  8,  8,  6, 10, 12, 13, 14, 16, 15,  5, 10, 12, 13, 14, 14,
  13,  8, 10, 12, 12, 12, 12, 11, 11,  8, 11, 11, 11, 12, 11, 10,  8, 12, 12,
  12, 13, 13,  8, 11, 14, 14, 14, 14, 14,  6, 14, 15, 16, 15, 15, 16, 13, 16,
  17, 18, 19, 18, 15, 15, 18, 19, 19, 19, 18, 13, 15, 18, 20, 19, 20, 18, 14,
  14, 20, 21, 20, 21, 20, 15, 14, 21, 22, 22, 22, 20, 16, 14, 23, 25, 24, 24,
  22, 17, 16, 23, 27, 26, 25, 23, 19, 25, 27, 27, 27, 24, 21, 17, 25, 31, 29,
  30, 25, 20, 16, 25, 31, 31, 30, 26, 21, 16, 25, 31, 32, 31, 27, 22, 18, 23,
  31, 34, 33, 29, 24, 18, 24, 31, 36, 34, 31, 25, 20, 26, 32, 37, 38, 33, 27,
  22, 35, 40, 40, 33, 27, 23, 19, 35, 41, 42, 34, 29, 24, 19, 35, 40, 44, 36,
  30, 25, 19, 35, 41, 45, 37, 31, 26, 20, 33, 39, 44, 40, 33, 27, 23, 33, 39,
  45, 42, 35, 30, 23, 33, 39, 44, 44, 38, 30, 25,  6,  8, 11, 14, 14, 12,  9,
   6,  7, 10, 13, 13, 11,  7,  5,  6,  9, 11, 12,  9,  5,  5,  5,  6,  8, 10,
   7,  2,  2,  2,  2,  5,  7,  5,  2,  2,  1,  1,  2,  5,  5,  2,  3,  2,  2,
   2,  4,  5,  2,  5,  6,  8, 11, 11, 10, 10,  5,  6,  7, 10, 11,  8,  8,  4,
   5,  6,  8,  8,  6,  6,  4,  4,  4,  5,  5,  3,  2,  2,  1,  1,  2,  2,  1,
   2,  3,  2,  2,  1,  0,  1,  2,  6,  3,  2,  2,  1,  1,  2,  5,  6,  8,  9,
  10, 11, 12,  4,  5,  8,  9, 10, 10,  9,  3,  5,  8,  8,  8,  8,  7,  5,  3,
   5,  5,  5,  5,  5,  8,  2,  4,  5,  6,  6,  5,  9,  3,  5,  7,  7,  7,  5,
   8,  6,  6,  8,  8,  8,  8,  3,  8, 10, 10, 11, 13, 14,  6,  8, 10, 11, 12,
  12, 13, 10,  8, 11, 12, 12, 12, 11, 12,  7, 11, 12, 11, 12, 10, 12,  8, 12,
  13, 13, 13, 13,  9, 11, 13, 14, 14, 14, 15,  8, 14, 16, 16, 15, 15, 16, 13,
  16, 17, 18, 20, 18, 14, 15, 17, 19, 19, 20, 19, 12, 15, 19, 20, 20, 20, 19,
  14, 15, 20, 20, 21, 21, 19, 14, 14, 21, 22, 22, 22, 20, 16, 14, 23, 25, 24,
  23, 22, 17, 16, 24, 28, 26, 27, 24, 19, 26, 29, 27, 28, 24, 21, 16, 25, 30,
  29, 29, 26, 21, 17, 25, 33, 33, 31, 26, 22, 17, 25, 32, 33, 31, 27, 23, 17,
  25, 31, 35, 33, 28, 24, 18, 25, 32, 36, 36, 30, 24, 20, 26, 32, 38, 39, 33,
  27, 22, 35, 41, 39, 33, 28, 23, 19, 36, 41, 42, 35, 29, 24, 19, 36, 40, 45,
  36, 30, 24, 20, 35, 40, 45, 37, 31, 25, 21, 34, 40, 44, 40, 33, 27, 22, 34,
  39, 43, 43, 35, 29, 23, 35, 39, 44, 44, 38, 31, 25,  4,  6, 10, 12, 13, 11,
   8,  4,  5,  9, 12, 12,  9,  6,  4,  5,  7, 10, 10,  8,  4,  3,  3,  4,  7,
   9,  6,  2,  1,  1,  1,  4,  6,  4,  2,  2,  2,  2,  3,  5,  4,  2,  4,  3,
   2,  2,  4,  5,  2,  4,  5,  7, 10, 10,  8,  8,  4,  5,  6,  9,  9,  6,  6,
   3,  4,  5,  7,  7,  4,  4,  3,  2,  2,  4,  4,  2,  2,  2,  2,  1,  2,  1,
   1,  2,  3,  2,  2,  2,  1,  0,  2,  6,  4,  2,  2,  2,  1,  2,  3,  4,  6,
   7,  8, 10, 10,  3,  4,  6,  7,  8,  8,  8,  2,  3,  6,  6,  6,  6,  7,  6,
   2,  4,  5,  5,  5,  5,  8,  2,  4,  6,  6,  6,  5,  9,  4,  5,  7,  7,  7,
   5,  8,  7,  6,  8,  8,  8,  8,  2,  7, 10, 10, 11, 12, 13,  7,  7, 11, 11,
  12, 12, 12, 11,  7, 11, 12, 11, 12, 10, 12,  7, 11, 12, 12, 12, 10, 12,  9,
  13, 13, 13, 13, 13,  9, 11, 14, 14, 15, 15, 14,  9, 14, 16, 17, 16, 16, 16,
  13, 16, 18, 18, 18, 18, 13, 15, 17, 19, 20, 20, 18, 12, 15, 19, 20, 20, 20,
  18, 14, 15, 20, 21, 21, 20, 19, 15, 15, 22, 23, 22, 23, 21, 16, 15, 23, 27,
  24, 24, 21, 18, 16, 24, 28, 27, 25, 23, 19, 25, 28, 27, 27, 25, 20, 16, 26,
  30, 29, 29, 25, 21, 16, 25, 32, 32, 31, 26, 21, 17, 26, 32, 33, 31, 26, 22,
  18, 24, 31, 35, 33, 29, 23, 19, 25, 32, 37, 35, 30, 25, 21, 25, 32, 37, 38,
  32, 27, 22, 35, 40, 39, 32, 27, 23, 19, 36, 40, 41, 34, 27, 24, 19, 35, 39,
  43, 35, 30, 24, 19, 36, 39, 44, 36, 31, 26, 21, 34, 39, 44, 38, 32, 27, 23,
  34, 39, 43, 42, 35, 29, 24, 34, 40, 43, 44, 37, 30, 25,  4,  6,  8, 11, 11,
   9,  6,  4,  6,  8, 10, 10,  7,  4,  3,  5,  7,  8,  9,  6,  4,  3,  3,  5,
   7,  8,  5,  3,  1,  0,  3,  5,  7,  5,  3,  2,  2,  4,  4,  7,  5,  3,  4,
   3,  3,  4,  6,  5,  3,  4,  5,  7,  9,  8,  6,  6,  3,  4,  6,  8,  7,  5,
   4,  3,  4,  5,  7,  5,  4,  2,  2,  2,  4,  5,  4,  3,  0,  1,  1,  2,  4,
   3,  2,  0,  3,  2,  3,  4,  2,  2,  0,  7,  4,  3,  3,  3,  1,  0,  3,  4,
   5,  5,  7,  8,  8,  2,  3,  5,  6,  6,  6,  6,  2,  3,  5,  4,  4,  4,  5,
   3,  2,  3,  3,  2,  3,  3,  6,  2,  4,  4,  4,  4,  3,  7,  4,  5,  5,  5,
   5,  3,  8,  7,  6,  6,  6,  6,  6,  2,  7,  8,  8,  9, 10, 11,  3,  7,  9,
   9, 10, 10, 10,  9,  7, 10,  9, 10, 10,  8, 11,  7, 10, 10,  9, 10,  7, 10,
   9, 11, 11, 12, 11, 11,  7, 11, 13, 12, 13, 13, 12,  8, 14, 15, 14, 14, 14,
  14, 12, 16, 16, 16, 17, 16, 11, 14, 16, 17, 17, 18, 16, 10, 15, 18, 18, 18,
  17, 16, 12, 14, 20, 19, 19, 19, 17, 12, 14, 21, 21, 21, 20, 18, 14, 15, 22,
  24, 22, 21, 19, 15, 16, 23, 26, 25, 23, 21, 17, 24, 26, 24, 25, 21, 18, 14,
  24, 28, 26, 25, 22, 18, 14, 24, 30, 29, 27, 23, 19, 14, 24, 29, 30, 28, 25,
  19, 15, 23, 29, 32, 30, 25, 21, 17, 24, 30, 35, 32, 27, 23, 18, 25, 30, 35,
  35, 30, 25, 20, 32, 37, 35, 28, 24, 21, 16, 32, 37, 38, 31, 25, 20, 17, 33,
  37, 39, 32, 27, 22, 17, 32, 37, 40, 33, 27, 22, 18, 31, 36, 41, 37, 30, 24,
  20, 31, 35, 40, 40, 32, 26, 21, 32, 37, 40, 41, 34, 28, 23, 17, 19, 20, 23,
  22, 21, 20, 17, 19, 20, 22, 22, 20, 18, 16, 18, 19, 19, 20, 17, 14, 16, 16,
  16, 17, 17, 12,  7, 13, 13, 13, 12, 10, 10,  7,  9,  9,  7,  6,  8,  9,  7,
   3,  3,  4,  6,  7,  9,  7, 16, 18, 19, 21, 21, 21, 20, 15, 18, 19, 20, 20,
  19, 17, 15, 17, 18, 19, 18, 17, 14, 14, 15, 15, 16, 14, 11,  7, 12, 12, 12,
  11,  7,  7,  7,  8,  7,  6,  5,  6,  6,  6,  0,  2,  4,  4,  5,  6,  6, 15,
  17, 18, 19, 21, 21, 20, 14, 16, 17, 19, 19, 19, 17, 15, 16, 17, 17, 17, 16,
  13, 15, 14, 14, 14, 13, 11,  6, 10, 10, 10,  9,  5,  6,  6,  3,  5,  5,  4,
   5,  6,  6,  2,  2,  2,  4,  5,  5,  6, 15, 16, 17, 18, 20, 21, 21, 14, 16,
  18, 19, 19, 19, 19, 12, 16, 17, 17, 17, 16, 15,  9, 15, 14, 14, 13, 10, 10,
   6, 11, 10,  9,  5,  5,  7,  4,  4,  4,  4,  4,  5,  6,  2,  7,  5,  5,  5,
   5,  6, 14, 15, 17, 19, 19, 21, 21, 12, 15, 16, 18, 19, 18, 19, 11, 14, 15,
  15, 16, 15, 14, 12, 12, 12, 12, 11, 10,  6,  9, 10, 10, 10, 11, 11,  6,  6,
  11, 13, 12, 12, 12,  7,  7, 12, 14, 13, 13, 12,  9, 13, 15, 16, 17, 17, 19,
  21, 13, 17, 17, 18, 16, 17, 18, 13, 19, 18, 18, 14, 14, 13, 13, 18, 19, 18,
  16, 11,  8, 12, 17, 19, 18, 15, 12,  9, 12, 16, 19, 17, 15, 13, 11, 13, 15,
  18, 18, 16, 14, 12, 21, 25, 24, 21, 16, 18, 19, 21, 25, 25, 21, 17, 16, 16,
  21, 24, 26, 22, 18, 13, 12, 21, 23, 25, 21, 18, 14, 11, 19, 21, 24, 20, 16,
  14, 12, 18, 21, 22, 21, 16, 15, 13, 17, 19, 22, 22, 18, 15, 13, 15, 16, 17,
  19, 18, 18, 17, 14, 16, 17, 18, 18, 17, 15, 13, 15, 16, 16, 16, 14, 11, 13,
  14, 14, 13, 12,  9,  5, 11, 11, 10,  9,  6,  5,  4,  7,  7,  5,  4,  5,  5,
   5,  2,  2,  2,  3,  5,  5,  4, 14, 15, 16, 18, 18, 18, 17, 14, 15, 16, 17,
  18, 16, 14, 13, 14, 15, 16, 15, 13, 10, 13, 12, 13, 12, 11,  9,  4, 10,  9,
   9,  8,  4,  4,  4,  6,  5,  4,  3,  3,  4,  4,  2,  0,  2,  2,  3,  4,  4,
  13, 14, 15, 16, 18, 18, 18, 13, 13, 15, 16, 16, 16, 15, 13, 13, 14, 14, 14,
  13, 11, 12, 12, 11, 11, 10,  8,  5,  8,  8,  8,  8,  3,  4,  4,  3,  4,  4,
   3,  3,  4,  4,  2,  2,  1,  2,  3,  4,  5, 13, 15, 15, 17, 19, 19, 19, 12,
  15, 16, 17, 17, 18, 16, 10, 15, 15, 15, 15, 14, 13,  7, 14, 13, 13, 12,  9,
   9,  5, 10,  9,  8,  6,  6,  7,  3,  6,  6,  7,  7,  7,  8,  2,  9,  9,  8,
   8,  9,  9, 13, 14, 15, 17, 18, 19, 20, 11, 14, 15, 16, 17, 17, 17, 12, 13,
  14, 14, 15, 14, 12, 11, 13, 12, 12, 13, 12,  8,  9, 13, 14, 14, 14, 14,  9,
   8, 15, 16, 17, 16, 15, 11, 10, 16, 19, 19, 19, 17, 12, 16, 19, 19, 20, 17,
  18, 19, 16, 21, 21, 21, 18, 16, 16, 16, 23, 23, 22, 18, 14, 12, 17, 22, 24,
  23, 19, 15, 11, 15, 22, 25, 25, 22, 17, 12, 16, 22, 28, 28, 24, 19, 14, 17,
  23, 28, 29, 25, 21, 16, 26, 32, 31, 24, 20, 17, 18, 25, 31, 33, 26, 21, 16,
  15, 26, 31, 35, 27, 22, 17, 12, 25, 31, 36, 29, 23, 18, 14, 24, 30, 35, 32,
  25, 21, 15, 24, 31, 35, 33, 28, 23, 17, 24, 31, 35, 33, 29, 24, 19, 11, 12,
  14, 15, 15, 15, 14, 10, 12, 13, 15, 14, 13, 11, 10, 11, 13, 13, 12, 10,  8,
  10, 10, 10, 10,  9,  6,  3,  7,  7,  7,  6,  4,  3,  2,  4,  3,  3,  2,  3,
   3,  2,  2,  1,  1,  2,  3,  3,  2, 10, 11, 13, 14, 15, 14, 14, 10, 11, 12,
  13, 14, 12, 12, 10, 10, 11, 12, 11, 10,  8, 10,  9,  9,  9,  8,  6,  3,  7,
   6,  6,  6,  3,  2,  3,  3,  2,  2,  2,  2,  2,  3,  4,  2,  0,  2,  2,  2,
   3, 10, 10, 11, 13, 14, 16, 16, 10, 10, 12, 13, 13, 14, 14, 10, 10, 11, 12,
  11, 11, 10,  9,  8,  9,  9,  9,  6,  5,  4,  5,  6,  6,  4,  3,  5,  3,  2,
   3,  3,  3,  4,  5,  4,  3,  4,  4,  4,  5,  5, 10, 13, 13, 14, 16, 17, 17,
   8, 12, 13, 14, 15, 15, 14,  6, 12, 13, 13, 13, 12, 11,  8, 11, 10, 10, 10,
   9,  9,  6,  7,  8,  9,  9, 10,  9,  4,  9, 10, 10, 11, 11, 11,  4, 12, 12,
  12, 12, 12, 12, 11, 13, 14, 15, 16, 17, 17, 11, 14, 15, 15, 16, 15, 14, 11,
  15, 16, 16, 16, 14, 11, 11, 17, 17, 16, 17, 15, 11, 11, 18, 17, 18, 18, 17,
  12, 12, 19, 21, 20, 20, 18, 14, 14, 20, 23, 21, 22, 20, 16, 21, 23, 23, 23,
  20, 17, 17, 21, 25, 25, 25, 21, 17, 14, 21, 28, 27, 26, 22, 17, 13, 21, 25,
  29, 27, 22, 19, 14, 20, 27, 31, 29, 25, 20, 15, 20, 26, 33, 32, 26, 21, 17,
  22, 27, 32, 34, 29, 24, 18, 30, 35, 35, 28, 23, 19, 16, 30, 36, 38, 31, 24,
  19, 15, 30, 36, 39, 32, 26, 20, 15, 30, 35, 40, 32, 27, 22, 17, 28, 35, 40,
  35, 29, 23, 19, 28, 35, 40, 38, 30, 26, 20, 29, 35, 40, 41, 33, 28, 21,  9,
  10, 12, 13, 13, 13, 12,  8,  9, 11, 13, 13, 11,  9,  8,  9, 11, 11, 11,  9,
   7,  8,  7,  8,  9,  8,  5,  2,  5,  5,  5,  5,  4,  2,  2,  2,  2,  1,  2,
   3,  2,  2,  3,  2,  1,  2,  2,  2,  2,  8,  9, 11, 12, 13, 12, 13,  8,  9,
  10, 12, 12, 10, 10,  7,  8,  9, 10, 10,  8,  8,  7,  7,  7,  8,  7,  5,  4,
   5,  4,  3,  4,  3,  2,  3,  2,  2,  1,  1,  2,  2,  3,  4,  2,  2,  0,  1,
   2,  3,  8,  8, 10, 11, 13, 14, 14,  7,  8, 10, 12, 12, 12, 12,  7,  7, 10,
  10, 10, 10,  9,  5,  6,  8,  8,  8,  6,  6,  5,  3,  5,  5,  5,  5,  6,  6,
   2,  5,  5,  5,  6,  6,  5,  4,  5,  7,  7,  7,  7,  7, 11, 12, 13, 14, 16,
  15,  5, 10, 12, 14, 13, 13, 13,  7, 10, 11, 11, 12, 12, 11, 10,  9, 10, 11,
  11, 11, 10,  9,  8, 11, 11, 12, 12, 12,  7, 10, 13, 13, 13, 13, 14,  5, 13,
  14, 15, 14, 14, 15, 12, 15, 16, 17, 18, 17, 15, 14, 16, 18, 18, 19, 17, 13,
  14, 17, 19, 19, 18, 17, 13, 14, 20, 19, 19, 20, 18, 14, 13, 21, 21, 20, 20,
  19, 15, 14, 22, 23, 23, 22, 21, 17, 16, 22, 26, 25, 25, 23, 18, 24, 27, 26,
  26, 23, 19, 16, 24, 29, 28, 28, 24, 21, 15, 24, 31, 31, 29, 26, 20, 16, 24,
  30, 31, 30, 27, 21, 17, 23, 30, 33, 31, 27, 22, 18, 23, 30, 35, 34, 29, 24,
  19, 25, 30, 35, 36, 32, 27, 21, 33, 40, 39, 32, 26, 22, 18, 34, 40, 42, 34,
  28, 23, 18, 33, 40, 43, 35, 29, 23, 18, 34, 40, 44, 36, 30, 25, 19, 32, 38,
  44, 39, 32, 26, 21, 33, 38, 43, 42, 34, 28, 23, 32, 39, 42, 43, 36, 30, 24,
   7,  9, 13, 15, 15, 14, 10,  6,  8, 11, 15, 15, 12,  9,  6,  7, 10, 12, 13,
  10,  7,  6,  5,  7, 10, 11,  8,  4,  3,  3,  4,  6,  8,  6,  3,  1,  1,  2,
   3,  6,  6,  3,  3,  2,  2,  2,  5,  6,  3,  6,  7, 10, 13, 13, 10, 10,  6,
   7,  9, 12, 12,  9,  8,  5,  6,  8, 10, 10,  7,  6,  5,  5,  5,  7,  6,  5,
   3,  2,  2,  2,  3,  3,  3,  2,  2,  2,  2,  2,  1,  2,  3,  5,  3,  2,  1,
   0,  1,  2,  5,  6,  8,  9, 11, 12, 12,  5,  6,  8,  9, 10, 10, 10,  4,  5,
   8,  8,  8,  8,  8,  4,  4,  5,  6,  6,  5,  5,  6,  2,  3,  4,  4,  4,  4,
   8,  3,  4,  5,  5,  5,  5,  7,  5,  5,  7,  7,  7,  7,  5,  8, 10, 10, 12,
  13, 13,  4,  8, 10, 11, 11, 11, 11,  7,  8, 10, 10, 10, 10, 10, 10,  7, 10,
  11, 11, 11,  9, 10,  8, 11, 11, 12, 11, 12,  8, 10, 13, 13, 13, 13, 13,  7,
  13, 15, 15, 15, 14, 15, 12, 16, 16, 17, 18, 17, 14, 14, 16, 18, 18, 19, 17,
  12, 14, 18, 19, 19, 18, 17, 13, 14, 19, 19, 19, 19, 18, 13, 13, 21, 21, 21,
  21, 19, 15, 13, 22, 23, 23, 22, 20, 16, 15, 23, 26, 25, 24, 22, 18, 24, 27,
  26, 26, 23, 19, 15, 24, 30, 28, 28, 25, 20, 15, 24, 31, 30, 29, 24, 20, 16,
  25, 31, 31, 30, 25, 21, 16, 24, 30, 34, 32, 27, 23, 17, 24, 30, 36, 35, 28,
  23, 20, 24, 31, 35, 36, 31, 26, 20, 34, 39, 39, 32, 26, 21, 18, 34, 40, 39,
  33, 28, 23, 18, 34, 41, 43, 35, 28, 23, 18, 33, 39, 44, 35, 30, 24, 19, 32,
  39, 42, 39, 31, 26, 20, 32, 39, 43, 41, 34, 28, 23, 32, 38, 42, 43, 36, 30,
  24,  5,  8, 11, 15, 15, 13,  9,  5,  7, 10, 14, 14, 11,  7,  4,  5,  9, 11,
  13,  9,  6,  4,  4,  6,  8, 11,  7,  3,  1,  1,  2,  5,  8,  6,  3,  2,  2,
   2,  3,  6,  6,  3,  4,  3,  2,  3,  5,  6,  3,  4,  5,  9, 12, 12,  9,  9,
   4,  5,  8, 11, 11,  8,  7,  3,  5,  6,  8,  8,  6,  4,  3,  3,  3,  6,  5,
   4,  1,  2,  1,  1,  2,  2,  2,  1,  3,  2,  2,  3,  1,  1,  1,  7,  4,  2,
   2,  1,  0,  1,  4,  5,  6,  7,  9, 10, 10,  3,  4,  7,  7,  8,  8,  8,  3,
   4,  6,  6,  6,  6,  6,  4,  2,  4,  4,  4,  4,  4,  7,  2,  4,  5,  5,  4,
   4,  8,  3,  5,  6,  6,  6,  4,  8,  6,  6,  7,  7,  7,  7,  3,  7,  9,  9,
  10, 11, 12,  5,  7, 10, 10, 11, 11, 11,  8,  7, 10, 10, 10, 11, 10, 11,  7,
  10, 11, 11, 11,  8, 10,  9, 11, 12, 12, 12, 12,  8, 11, 13, 13, 14, 13, 13,
   8, 14, 15, 15, 14, 14, 15, 13, 16, 16, 17, 18, 17, 12, 15, 16, 17, 18, 19,
  17, 11, 15, 18, 19, 19, 19, 18, 13, 15, 20, 20, 20, 20, 18, 13, 14, 21, 21,
  21, 21, 19, 15, 14, 22, 25, 23, 22, 21, 16, 16, 24, 27, 25, 25, 23, 18, 24,
  28, 27, 26, 23, 19, 15, 24, 29, 28, 27, 24, 19, 15, 24, 32, 31, 29, 25, 20,
  16, 24, 31, 31, 29, 26, 21, 16, 23, 29, 33, 31, 27, 22, 18, 24, 30, 37, 34,
  28, 24, 19, 25, 30, 37, 36, 31, 26, 21, 34, 39, 37, 31, 26, 22, 18, 35, 40,
  39, 33, 27, 22, 18, 34, 39, 42, 34, 29, 24, 18, 34, 37, 42, 34, 29, 24, 19,
  33, 38, 42, 37, 31, 26, 21, 34, 38, 41, 41, 34, 27, 23, 33, 38, 42, 42, 35,
  28, 24,  4,  6,  8, 11, 11,  9,  6,  4,  6,  8, 10, 10,  7,  4,  3,  5,  7,
   8,  9,  6,  4,  3,  3,  5,  6,  8,  5,  3,  1,  0,  3,  5,  8,  5,  3,  2,
   2,  4,  5,  7,  5,  3,  4,  3,  3,  4,  6,  5,  3,  4,  5,  7,  9,  8,  7,
   6,  3,  4,  6,  8,  7,  5,  4,  3,  4,  5,  7,  5,  4,  2,  2,  2,  3,  5,
   4,  3,  0,  1,  1,  2,  4,  3,  2,  0,  3,  2,  3,  4,  2,  2,  0,  7,  4,
   3,  3,  3,  1,  0,  3,  4,  5,  5,  7,  8,  8,  2,  3,  5,  6,  6,  6,  6,
   2,  3,  5,  4,  4,  4,  5,  3,  2,  3,  3,  3,  3,  3,  5,  2,  4,  4,  4,
   4,  3,  7,  4,  5,  5,  5,  5,  3,  8,  7,  6,  6,  6,  6,  6,  2,  7,  8,
   9,  9, 10, 11,  3,  7,  9,  9, 10, 10,  9,  9,  7, 10,  9,  9, 10,  8, 11,
   7, 10, 10, 10, 10,  7,  9,  9, 11, 11, 11, 11, 11,  8, 11, 13, 13, 13, 13,
  12,  8, 14, 15, 14, 14, 14, 13, 12, 15, 16, 16, 16, 16, 11, 14, 17, 17, 17,
  18, 16, 10, 14, 17, 18, 18, 18, 16, 12, 14, 19, 18, 19, 18, 17, 12, 14, 21,
  21, 20, 19, 19, 14, 15, 22, 24, 23, 21, 19, 16, 16, 22, 26, 24, 23, 21, 17,
  24, 26, 24, 24, 21, 18, 14, 24, 28, 27, 26, 23, 18, 14, 24, 30, 28, 27, 23,
  19, 15, 24, 29, 31, 27, 24, 20, 16, 23, 28, 32, 30, 25, 21, 17, 24, 30, 34,
  33, 28, 23, 19, 24, 30, 35, 34, 30, 24, 20, 32, 37, 35, 28, 24, 20, 17, 33,
  37, 36, 30, 25, 21, 16, 33, 37, 39, 31, 26, 22, 17, 32, 37, 40, 33, 27, 23,
  19, 31, 36, 39, 36, 30, 23, 20, 31, 36, 40, 38, 32, 26, 21, 33, 36, 41, 40,
  34, 28, 22,  2,  3,  4,  8,  8,  6,  2,  2,  2,  3,  7,  8,  4,  2,  2,  2,
   2,  4,  5,  2,  2,  1,  2,  2,  2,  3,  2,  3,  2,  3,  3,  3,  4,  3,  3,
   6,  6,  6,  6,  4,  3,  3, 12, 11,  8,  6,  5,  3,  3,  2,  2,  3,  5,  5,
   2,  2,  1,  2,  3,  3,  4,  2,  1,  0,  2,  2,  2,  2,  2,  1,  1,  1,  2,
   2,  1,  1,  3,  4,  3,  4,  4,  4,  3,  3,  8,  8,  8,  7,  5,  3,  3, 15,
  13, 10,  7,  5,  4,  3,  0,  2,  2,  2,  2,  2,  1,  1,  2,  2,  2,  2,  2,
   1,  2,  1,  1,  1,  1,  1,  2,  2,  1,  2,  1,  2,  2,  4,  6,  5,  5,  5,
   5,  4,  4, 11, 10,  9,  8,  6,  5,  4, 18, 16, 12,  9,  7,  6,  5,  2,  2,
   2,  3,  3,  3,  7,  2,  3,  4,  4,  4,  4,  7,  4,  4,  5,  5,  5,  5,  7,
   7,  7,  7,  7,  8,  8,  8,  8, 12, 11, 11, 12, 11, 10, 12, 17, 16, 15, 14,
  13, 12, 18, 23, 20, 17, 15, 14, 13, 10, 10, 10, 10, 11, 10,  7, 12, 12, 12,
  11, 12, 11,  7, 12, 13, 13, 14, 13, 12,  8, 12, 17, 16, 16, 17, 15, 12, 15,
  21, 21, 20, 20, 19, 14, 19, 24, 25, 25, 23, 20, 15, 22, 27, 30, 27, 25, 22,
  17, 19, 21, 20, 20, 17, 13,  8, 19, 22, 22, 22, 18, 14, 10, 19, 24, 24, 24,
  19, 15, 11, 19, 25, 27, 27, 23, 19, 15, 22, 28, 32, 31, 28, 23, 17, 24, 30,
  36, 35, 30, 25, 18, 27, 34, 37, 37, 32, 26, 20, 27, 32, 32, 25, 20, 16, 11,
  27, 33, 34, 28, 22, 17, 13, 26, 34, 36, 29, 24, 19, 15, 28, 34, 38, 32, 27,
  23, 19, 29, 35, 40, 36, 32, 27, 21, 31, 37, 40, 40, 33, 27, 23, 33, 38, 42,
  42, 36, 30, 25,  1,  2,  3,  3,  3,  2,  2,  1,  2,  2,  3,  3,  2,  1,  1,
   2,  2,  2,  2,  2,  1,  2,  1,  2,  2,  2,  2,  4,  4,  3,  4,  4,  4,  4,
   4,  8,  7,  7,  7,  5,  4,  4, 13, 12,  9,  7,  6,  4,  4,  1,  2,  2,  3,
   2,  2,  1,  2,  1,  2,  2,  2,  1,  1,  2,  0,  2,  2,  2,  1,  1,  2,  2,
   2,  2,  2,  2,  4,  5,  5,  5,  5,  5,  4,  4, 10,  9,  9,  8,  6,  4,  4,
  17, 14, 11,  8,  6,  5,  4,  2,  0,  1,  2,  2,  1,  5,  2,  1,  1,  1,  1,
   1,  5,  2,  2,  1,  1,  1,  1,  6,  4,  2,  4,  4,  4,  4,  7,  8,  6,  7,
   7,  8,  7,  7, 13, 12, 12, 11, 10,  8,  7, 19, 17, 15, 13, 11, 10,  9,  2,
   5,  5,  6,  6,  6,  9,  5,  6,  6,  7,  7,  7,  9,  8,  7,  7,  8,  8,  8,
   9, 11, 10, 11, 11, 11, 12, 11, 11, 15, 15, 15, 15, 15, 14, 13, 20, 20, 18,
  17, 16, 15, 19, 26, 23, 21, 18, 18, 17, 13, 14, 13, 13, 13, 13,  9, 14, 15,
  14, 15, 15, 14,  9, 14, 17, 16, 17, 16, 15, 12, 15, 21, 20, 20, 20, 19, 16,
  18, 25, 25, 24, 24, 22, 17, 22, 28, 30, 29, 26, 24, 19, 26, 31, 33, 30, 29,
  26, 20, 22, 24, 23, 23, 19, 15, 11, 23, 26, 25, 24, 21, 16, 12, 23, 28, 27,
  26, 23, 19, 15, 23, 29, 31, 30, 27, 22, 19, 25, 32, 36, 34, 31, 26, 21, 29,
  34, 41, 39, 34, 27, 22, 32, 37, 42, 41, 36, 30, 24, 31, 36, 34, 28, 23, 18,
  14, 30, 37, 37, 30, 23, 20, 15, 31, 36, 39, 33, 26, 22, 19, 30, 36, 42, 36,
  31, 27, 23, 32, 39, 45, 41, 35, 29, 24, 34, 40, 47, 45, 39, 31, 26, 38, 43,
  47, 46, 41, 34, 28,  1,  3,  4,  5,  5,  4,  3,  1,  2,  4,  5,  5,  4,  3,
   2,  1,  4,  4,  5,  5,  5,  2,  2,  4,  5,  6,  6,  6,  4,  4,  6,  7,  8,
   7,  6,  8,  8,  9, 10,  8,  7,  6, 14, 13, 10, 10,  9,  7,  6,  2,  1,  3,
   4,  4,  3,  1,  2,  1,  3,  4,  4,  3,  1,  2,  2,  2,  4,  4,  3,  3,  2,
   3,  3,  5,  5,  5,  5,  5,  5,  6,  7,  7,  6,  4, 11, 10, 10, 10,  8,  6,
   4, 18, 15, 12, 10,  8,  6,  4,  2,  1,  0,  1,  1,  2,  5,  2,  2,  1,  1,
   1,  2,  4,  3,  2,  2,  2,  3,  3,  6,  7,  3,  6,  6,  6,  6,  8, 10,  7,
   9,  9,  9,  9,  8, 15, 12, 13, 13, 11, 10,  7, 21, 19, 16, 14, 13, 11, 10,
   3,  6,  6,  6,  7,  6,  8,  8,  6,  7,  7,  8,  8,  9, 10,  7,  9,  9, 10,
  10, 10, 12, 10, 13, 13, 13, 13, 11, 13, 15, 17, 17, 17, 16, 14, 15, 22, 22,
  21, 19, 18, 17, 20, 27, 25, 22, 21, 20, 19, 14, 15, 15, 14, 15, 13,  8, 16,
  15, 16, 16, 15, 14,  8, 16, 17, 18, 19, 18, 17, 13, 16, 22, 22, 22, 22, 21,
  17, 19, 27, 27, 26, 26, 24, 18, 23, 31, 33, 31, 29, 25, 21, 28, 34, 35, 32,
  31, 28, 22, 23, 25, 24, 23, 20, 16, 12, 23, 28, 26, 25, 21, 17, 13, 24, 29,
  28, 28, 25, 21, 17, 24, 31, 33, 32, 28, 24, 21, 27, 33, 39, 36, 33, 27, 21,
  31, 37, 42, 41, 36, 29, 24, 33, 40, 45, 44, 38, 31, 26, 32, 38, 36, 29, 24,
  19, 15, 32, 37, 38, 30, 25, 21, 17, 31, 38, 40, 35, 29, 24, 19, 32, 39, 45,
  39, 32, 28, 24, 34, 41, 46, 44, 37, 31, 25, 37, 44, 48, 48, 41, 33, 28, 40,
  45, 49, 50, 43, 36, 30,  1,  3,  6,  8,  8,  6,  3,  1,  2,  5,  7,  8,  6,
   4,  1,  2,  4,  7,  8,  7,  5,  2,  2,  5,  7,  9,  8,  7,  4,  5,  7,  9,
  11,  9,  8,  9,  9, 10, 11, 11,  9,  8, 16, 14, 12, 11, 11,  9,  7,  1,  1,
   4,  6,  5,  3,  1,  2,  1,  3,  5,  5,  2,  2,  2,  1,  2,  5,  5,  4,  3,
   2,  3,  4,  6,  6,  5,  5,  6,  6,  7,  9,  8,  7,  5, 12, 11, 11, 11,  9,
   7,  5, 19, 17, 13, 11,  9,  7,  5,  2,  2,  1,  0,  1,  2,  4,  2,  2,  1,
   1,  1,  2,  4,  5,  2,  3,  3,  3,  3,  6,  8,  3,  6,  7,  7,  7,  7, 11,
   8, 10, 10, 10, 10,  8, 16, 13, 15, 14, 13, 11,  8, 21, 20, 18, 16, 14, 12,
  11,  5,  6,  7,  7,  7,  5,  7,  9,  6,  7,  8,  8,  8,  8, 12,  7,  9, 10,
  11, 11, 10, 14, 10, 14, 15, 14, 14, 12, 15, 15, 18, 18, 18, 18, 15, 16, 23,
  22, 21, 21, 19, 17, 22, 29, 26, 24, 22, 20, 20, 15, 14, 14, 14, 14, 13,  7,
  18, 15, 16, 15, 16, 15,  8, 18, 17, 18, 19, 19, 17, 14, 17, 22, 23, 23, 23,
  22, 18, 20, 28, 28, 27, 27, 25, 20, 23, 32, 34, 32, 28, 26, 22, 28, 35, 37,
  34, 32, 28, 23, 24, 26, 24, 23, 20, 16, 12, 24, 28, 26, 26, 22, 18, 14, 24,
  30, 29, 29, 25, 21, 18, 24, 32, 34, 33, 30, 25, 22, 28, 35, 40, 38, 34, 29,
  23, 32, 37, 45, 42, 36, 30, 25, 36, 42, 45, 45, 39, 33, 27, 32, 38, 35, 29,
  23, 19, 15, 32, 38, 37, 31, 26, 21, 18, 33, 38, 41, 35, 29, 26, 21, 32, 40,
  45, 39, 35, 29, 25, 36, 43, 48, 44, 39, 33, 26, 38, 45, 50, 50, 41, 35, 29,
  41, 47, 51, 51, 44, 37, 30,  1,  3,  6,  8,  8,  6,  3,  2,  2,  5,  7,  8,
   6,  5,  2,  1,  5,  8,  9,  8,  6,  2,  3,  5,  8, 10,  9,  8,  5,  6,  8,
  10, 12, 10,  9, 10, 11, 12, 13, 13, 10,  9, 17, 15, 13, 12, 12, 10,  9,  2,
   1,  4,  6,  5,  2,  2,  2,  1,  3,  5,  5,  3,  2,  2,  2,  2,  6,  5,  4,
   4,  2,  3,  5,  7,  7,  6,  7,  7,  7,  8, 10, 10,  8,  7, 13, 12, 13, 13,
  10,  9,  7, 21, 18, 14, 13, 11,  9,  7,  2,  2,  1,  1,  0,  2,  4,  3,  2,
   1,  1,  2,  3,  5,  7,  2,  3,  4,  5,  4,  6, 10,  3,  7,  8,  8,  8,  8,
  13,  9, 11, 12, 12, 11,  8, 17, 15, 16, 15, 14, 13,  8, 23, 21, 19, 17, 15,
  14, 13,  6,  6,  7,  7,  7,  4,  7, 11,  7,  8,  8,  9,  9,  8, 13,  7, 10,
  11, 12, 12, 11, 16, 10, 15, 16, 16, 16, 13, 16, 17, 19, 20, 20, 19, 16, 18,
  24, 25, 23, 22, 21, 19, 23, 30, 28, 25, 23, 22, 22, 16, 15, 15, 15, 15, 13,
   7, 19, 17, 16, 16, 18, 16,  8, 19, 18, 19, 20, 21, 19, 15, 19, 23, 23, 25,
  25, 24, 20, 20, 28, 30, 29, 29, 26, 21, 24, 33, 35, 33, 31, 29, 23, 30, 37,
  38, 35, 33, 30, 25, 25, 26, 25, 24, 20, 16, 12, 24, 28, 26, 25, 22, 19, 15,
  24, 30, 29, 30, 27, 23, 19, 25, 32, 35, 34, 31, 27, 23, 28, 36, 41, 39, 35,
  30, 25, 33, 40, 46, 43, 38, 32, 27, 37, 42, 47, 46, 40, 34, 28, 32, 38, 35,
  28, 23, 19, 16, 33, 37, 38, 31, 26, 22, 19, 34, 38, 40, 35, 31, 27, 22, 33,
  40, 45, 40, 35, 31, 27, 35, 43, 47, 46, 39, 34, 29, 41, 46, 50, 50, 42, 36,
  30, 43, 48, 50, 53, 45, 38, 32,  3,  5,  7,  8,  8,  6,  5,  2,  4,  6,  8,
   9,  7,  6,  1,  3,  6,  9, 10,  9,  8,  2,  4,  7,  9, 12, 11, 10,  5,  7,
  10, 11, 14, 12, 10, 11, 12, 13, 14, 14, 12, 10, 17, 16, 15, 14, 14, 12, 10,
   1,  4,  5,  7,  5,  3,  2,  2,  2,  5,  6,  6,  4,  3,  2,  2,  5,  7,  7,
   6,  5,  2,  3,  6,  8,  8,  7,  8,  6,  7, 10, 11, 11,  9,  8, 13, 13, 14,
  14, 11, 10,  8, 21, 18, 15, 14, 12, 10,  8,  2,  1,  2,  2,  2,  0,  2,  2,
   2,  1,  1,  2,  1,  4,  4,  2,  1,  3,  3,  3,  5,  9,  3,  5,  6,  6,  7,
   7, 11,  9, 10, 10, 10, 10,  7, 17, 15, 15, 14, 12, 11,  7, 23, 21, 17, 15,
  14, 12, 11,  4,  5,  5,  5,  5,  3,  5,  9,  6,  6,  6,  7,  7,  7, 12,  7,
   8,  9, 10, 11,  9, 15, 10, 13, 14, 14, 14, 11, 15, 15, 18, 18, 18, 17, 15,
  17, 23, 23, 22, 20, 19, 17, 24, 30, 26, 24, 22, 20, 19, 15, 13, 13, 12, 13,
  11,  5, 18, 15, 14, 14, 15, 14,  7, 19, 16, 17, 19, 19, 18, 13, 19, 21, 22,
  23, 23, 21, 18, 19, 27, 28, 27, 27, 24, 19, 23, 31, 34, 31, 29, 25, 21, 29,
  35, 36, 33, 31, 28, 23, 23, 24, 22, 20, 18, 14, 10, 23, 26, 24, 22, 20, 17,
  13, 23, 28, 27, 27, 23, 21, 17, 23, 30, 32, 30, 29, 24, 21, 27, 34, 37, 36,
  32, 28, 23, 31, 38, 43, 42, 35, 30, 25, 35, 40, 44, 43, 37, 31, 26, 31, 33,
  30, 25, 20, 17, 14, 30, 33, 33, 27, 23, 20, 17, 31, 33, 36, 31, 27, 25, 21,
  30, 35, 42, 36, 32, 28, 25, 34, 39, 44, 43, 37, 32, 27, 38, 42, 47, 47, 40,
  33, 28, 41, 46, 49, 48, 42, 36, 30,  6,  7,  9, 10, 10,  8,  6,  5,  6,  8,
  10, 11,  9,  8,  4,  6,  8, 11, 13, 11,  9,  3,  6,  9, 12, 14, 12, 11,  5,
   8, 10, 13, 15, 14, 11, 11, 13, 14, 14, 16, 14, 11, 17, 17, 15, 15, 14, 13,
  11,  4,  6,  7,  9,  7,  5,  3,  3,  5,  7,  8,  7,  6,  5,  1,  5,  7,  9,
   8,  7,  6,  1,  5,  8, 10,  9,  9,  8,  5,  8, 10, 12, 11, 10,  8, 12, 13,
  15, 15, 12, 10,  8, 20, 18, 16, 14, 12, 10,  8,  1,  5,  5,  4,  4,  2,  0,
   2,  3,  5,  4,  3,  3,  2,  2,  2,  4,  5,  4,  5,  4,  4,  3,  6,  6,  6,
   6,  6,  8,  8, 10, 10, 10,  8,  6, 15, 15, 15, 13, 11,  9,  6, 22, 20, 17,
  14, 11,  9,  8,  2,  2,  2,  2,  1,  2,  3,  5,  3,  3,  2,  3,  3,  4,  8,
   5,  4,  6,  6,  6,  6, 11,  7,  9, 10, 10, 10,  8, 12, 14, 14, 14, 14, 13,
  11, 15, 20, 19, 17, 16, 15, 13, 22, 26, 22, 20, 18, 16, 15, 12, 10,  9,  9,
   9,  8,  3, 15, 12, 11, 11, 11, 10,  4, 15, 14, 13, 14, 14, 13, 10, 14, 18,
  18, 18, 19, 17, 14, 17, 25, 23, 23, 23, 20, 15, 22, 28, 30, 27, 24, 21, 17,
  26, 31, 33, 29, 26, 23, 19, 20, 19, 18, 16, 14, 10,  6, 19, 22, 18, 17, 15,
  13,  9, 19, 23, 22, 21, 19, 16, 13, 20, 25, 26, 26, 23, 20, 17, 23, 30, 33,
  30, 28, 23, 19, 27, 33, 38, 35, 29, 25, 20, 32, 35, 40, 38, 32, 27, 22, 24,
  28, 25, 19, 15, 13, 10, 25, 28, 27, 21, 17, 15, 13, 25, 28, 29, 25, 22, 19,
  16, 25, 29, 35, 31, 27, 23, 20, 28, 35, 39, 36, 31, 27, 22, 32, 37, 41, 41,
  34, 28, 23, 36, 40, 42, 43, 37, 30, 26,  2,  3,  8, 12, 12, 10,  7,  2,  3,
   6, 11, 11,  9,  4,  2,  2,  4,  8,  9,  7,  2,  2,  2,  2,  4,  7,  5,  2,
   2,  2,  2,  3,  5,  5,  2,  6,  6,  6,  5,  4,  5,  2, 11, 11,  8,  6,  4,
   5,  2,  2,  2,  5,  8,  9,  6,  2,  1,  2,  3,  7,  9,  4,  2,  2,  2,  2,
   4,  5,  2,  2,  0,  2,  2,  2,  2,  2,  2,  3,  3,  3,  3,  3,  2,  2,  7,
   7,  8,  6,  4,  3,  2, 15, 13, 10,  7,  5,  3,  2,  1,  2,  2,  2,  3,  2,
   2,  0,  2,  2,  2,  2,  2,  1,  1,  2,  2,  2,  2,  2,  0,  1,  1,  1,  1,
   1,  1,  2,  5,  4,  4,  4,  4,  3,  2, 11,  9,  9,  7,  5,  3,  2, 17, 16,
  12,  9,  6,  4,  3,  1,  1,  1,  1,  1,  1,  5,  2,  2,  2,  3,  3,  3,  6,
   2,  3,  3,  3,  4,  4,  6,  5,  5,  6,  6,  6,  7,  7,  6, 10, 10, 10, 10,
   9,  9, 11, 15, 14, 14, 12, 11, 10, 17, 21, 18, 16, 14, 13, 12,  9,  9,  9,
   9, 10,  9,  6, 11, 11, 10, 11, 11, 10,  6, 11, 12, 12, 12, 12, 11,  7, 11,
  15, 14, 15, 15, 14, 11, 13, 20, 19, 19, 19, 18, 12, 17, 23, 25, 24, 21, 20,
  14, 21, 26, 27, 24, 24, 21, 16, 18, 20, 19, 19, 16, 12,  7, 18, 21, 21, 21,
  18, 12,  9, 18, 23, 22, 22, 18, 14, 10, 18, 24, 26, 25, 22, 18, 14, 20, 25,
  30, 28, 25, 21, 16, 22, 28, 33, 31, 27, 23, 18, 25, 31, 34, 34, 29, 25, 19,
  26, 31, 29, 24, 19, 15, 10, 26, 31, 31, 26, 21, 16, 11, 26, 31, 33, 27, 23,
  18, 14, 25, 31, 35, 30, 26, 21, 18, 27, 32, 35, 33, 28, 24, 20, 29, 35, 37,
  36, 31, 27, 22, 32, 34, 36, 37, 31, 28, 23,  2,  2,  3,  3,  3,  2,  2,  1,
   2,  3,  3,  3,  2,  2,  1,  2,  2,  3,  3,  2,  1,  1,  1,  2,  2,  2,  2,
   3,  3,  3,  3,  3,  4,  3,  3,  7,  6,  7,  6,  5,  3,  3, 13, 11,  8,  7,
   5,  3,  3,  1,  2,  2,  3,  2,  2,  2,  1,  2,  2,  3,  2,  2,  1,  2,  2,
   2,  2,  2,  2,  1,  2,  1,  2,  2,  1,  2,  3,  4,  4,  4,  4,  4,  3,  3,
   9,  8,  8,  7,  5,  4,  3, 16, 14, 10,  8,  6,  4,  3,  2,  1,  2,  2,  2,
   2,  3,  2,  0,  1,  1,  1,  2,  3,  2,  1,  1,  0,  1,  0,  4,  3,  2,  2,
   2,  3,  3,  6,  7,  6,  6,  6,  6,  5,  6, 12, 11, 10,  9,  8,  7,  6, 18,
  17, 13, 11,  9,  8,  7,  2,  4,  4,  4,  5,  4,  8,  3,  5,  5,  5,  6,  6,
   8,  6,  6,  6,  6,  7,  7,  8,  9,  9,  9, 10, 10, 10, 10, 10, 13, 13, 13,
  13, 13, 12, 12, 19, 18, 16, 16, 15, 14, 18, 25, 22, 19, 18, 16, 15, 12, 12,
  12, 12, 12, 12,  8, 14, 14, 13, 13, 14, 12,  8, 13, 15, 15, 15, 15, 14, 11,
  13, 19, 19, 18, 19, 18, 14, 17, 24, 23, 23, 23, 20, 16, 20, 27, 29, 27, 25,
  22, 17, 25, 30, 31, 29, 28, 25, 19, 21, 23, 22, 21, 18, 14, 10, 21, 25, 23,
  23, 20, 15, 11, 20, 26, 27, 26, 22, 17, 13, 21, 27, 28, 28, 25, 21, 17, 24,
  30, 34, 33, 30, 24, 19, 27, 33, 40, 37, 32, 26, 21, 30, 36, 40, 39, 34, 29,
  22, 29, 36, 33, 27, 20, 17, 13, 29, 35, 35, 28, 23, 18, 14, 29, 35, 38, 31,
  25, 20, 16, 29, 34, 42, 35, 30, 25, 21, 31, 37, 43, 40, 34, 29, 22, 33, 40,
  45, 43, 37, 30, 25, 35, 42, 46, 46, 39, 32, 27,  1,  3,  4,  5,  5,  4,  3,
   1,  3,  4,  5,  5,  4,  3,  1,  2,  4,  4,  5,  4,  4,  1,  2,  4,  5,  5,
   5,  6,  4,  4,  6,  7,  7,  6,  6,  8,  8, 10, 10,  8,  7,  6, 14, 12, 11,
  10,  9,  7,  6,  1,  2,  4,  5,  4,  3,  1,  1,  1,  3,  4,  4,  3,  0,  2,
   1,  3,  4,  3,  4,  3,  2,  2,  3,  5,  5,  5,  5,  5,  5,  6,  8,  7,  6,
   5, 10, 10, 10, 11,  8,  6,  5, 18, 15, 11, 10,  8,  7,  5,  2,  1,  1,  1,
   1,  1,  4,  2,  1,  0,  1,  1,  1,  4,  2,  1,  2,  2,  2,  2,  5,  5,  3,
   5,  5,  5,  5,  7,  9,  7,  8,  8,  8,  8,  7, 14, 12, 13, 11, 10,  9,  7,
  20, 18, 15, 14, 12, 10,  9,  2,  5,  6,  6,  6,  5,  8,  6,  6,  6,  7,  7,
   7,  8,  9,  7,  8,  8,  9,  9,  9, 11,  9, 12, 12, 12, 12, 11, 12, 15, 16,
  16, 16, 16, 14, 14, 21, 20, 19, 18, 17, 16, 20, 27, 24, 21, 20, 18, 17, 13,
  13, 13, 14, 14, 13,  8, 15, 15, 14, 15, 15, 14,  8, 15, 17, 17, 17, 17, 16,
  12, 15, 22, 21, 20, 21, 20, 16, 18, 26, 25, 24, 25, 23, 18, 23, 30, 32, 29,
  28, 24, 20, 26, 33, 35, 31, 30, 26, 21, 23, 25, 23, 23, 19, 15, 11, 23, 27,
  25, 24, 20, 16, 12, 23, 28, 27, 28, 24, 19, 16, 22, 30, 32, 31, 28, 23, 19,
  26, 33, 36, 35, 31, 26, 21, 29, 35, 41, 40, 34, 29, 22, 33, 38, 43, 43, 36,
  30, 24, 30, 37, 35, 28, 22, 18, 14, 31, 36, 37, 30, 24, 20, 16, 31, 36, 40,
  33, 28, 22, 19, 30, 38, 44, 38, 31, 27, 23, 33, 39, 45, 42, 36, 31, 25, 35,
  41, 48, 46, 39, 32, 27, 40, 44, 48, 51, 41, 35, 29,  1,  4,  6,  9,  9,  7,
   4,  1,  3,  5,  8,  8,  7,  5,  1,  2,  5,  7,  9,  8,  6,  1,  3,  5,  8,
  10,  8,  8,  5,  5,  7,  9, 11, 10,  8,  9,  9, 11, 12, 11,  9,  8, 15, 14,
  12, 12, 11, 10,  8,  1,  2,  4,  7,  6,  3,  1,  1,  1,  4,  6,  6,  3,  1,
   2,  1,  3,  6,  5,  4,  3,  2,  3,  4,  6,  6,  6,  6,  5,  6,  7,  9,  9,
   7,  6, 11, 11, 11, 12,  9,  8,  6, 19, 16, 13, 12,  9,  8,  6,  2,  1,  1,
   1,  2,  1,  3,  2,  1,  1,  0,  1,  1,  4,  3,  2,  2,  2,  2,  3,  5,  7,
   3,  5,  6,  5,  6,  7, 10,  8,  9,  9, 10,  8,  7, 15, 13, 14, 13, 11, 10,
   7, 21, 20, 17, 15, 13, 11, 10,  3,  5,  6,  6,  6,  4,  7,  8,  6,  7,  7,
   7,  7,  7, 11,  7,  8,  9, 10, 10,  9, 13,  9, 13, 13, 13, 13, 11, 13, 15,
  17, 16, 17, 17, 14, 16, 22, 22, 21, 19, 18, 16, 21, 28, 26, 23, 21, 20, 18,
  14, 14, 14, 14, 14, 13,  7, 16, 15, 15, 15, 15, 14,  7, 16, 17, 17, 18, 18,
  17, 13, 16, 21, 22, 22, 22, 21, 17, 19, 27, 27, 27, 26, 24, 19, 23, 30, 32,
  31, 28, 26, 20, 28, 33, 35, 32, 31, 28, 22, 23, 24, 23, 23, 19, 16, 11, 22,
  27, 25, 24, 21, 17, 13, 23, 30, 28, 28, 24, 21, 17, 23, 31, 33, 32, 28, 24,
  21, 28, 34, 36, 36, 33, 27, 22, 31, 36, 44, 42, 36, 29, 24, 34, 39, 43, 45,
  37, 32, 26, 31, 36, 35, 28, 22, 18, 14, 31, 37, 37, 31, 25, 20, 17, 31, 37,
  41, 33, 29, 25, 19, 31, 38, 45, 39, 33, 28, 24, 35, 39, 46, 44, 36, 32, 26,
  38, 45, 51, 50, 40, 33, 28, 40, 46, 50, 51, 43, 35, 30,  1,  4,  7, 10, 10,
   8,  4,  1,  3,  6,  9,  9,  7,  5,  1,  2,  5,  8, 10,  8,  6,  2,  3,  6,
   8, 11,  9,  8,  5,  6,  8, 10, 12, 10,  8, 10, 10, 12, 12, 12, 10,  8, 16,
  14, 12, 12, 12, 10,  8,  1,  2,  5,  7,  7,  4,  1,  1,  1,  4,  6,  6,  4,
   2,  2,  1,  3,  6,  6,  5,  3,  2,  3,  5,  7,  7,  6,  6,  5,  6,  8,  9,
   9,  7,  6, 12, 11, 12, 12,  9,  8,  6, 19, 17, 13, 12, 10,  8,  6,  2,  1,
   1,  1,  2,  2,  3,  2,  2,  1,  1,  0,  1,  4,  4,  2,  2,  3,  3,  2,  5,
   8,  3,  6,  6,  6,  6,  7, 11,  8,  9, 10, 10,  9,  7, 16, 14, 14, 13, 12,
  10,  7, 21, 20, 17, 15, 13, 12, 11,  4,  5,  6,  6,  6,  4,  7,  8,  6,  7,
   7,  7,  7,  7, 12,  6,  8, 10, 10, 10,  9, 13,  9, 13, 13, 14, 14, 11, 14,
  15, 17, 17, 18, 17, 14, 16, 22, 22, 21, 20, 18, 17, 21, 28, 25, 23, 22, 20,
  19, 15, 14, 14, 14, 14, 13,  7, 17, 15, 15, 15, 15, 14,  7, 16, 17, 17, 19,
  19, 17, 13, 17, 21, 23, 23, 22, 21, 17, 19, 27, 27, 27, 27, 24, 19, 24, 32,
  34, 31, 30, 26, 20, 28, 36, 36, 34, 31, 29, 23, 23, 25, 23, 23, 20, 16, 11,
  23, 27, 25, 24, 22, 17, 14, 23, 29, 28, 28, 24, 20, 17, 23, 31, 34, 33, 29,
  25, 21, 27, 34, 38, 37, 33, 28, 22, 30, 38, 44, 42, 36, 30, 24, 35, 40, 44,
  44, 37, 32, 26, 32, 35, 34, 27, 22, 18, 14, 31, 37, 36, 29, 24, 21, 17, 31,
  36, 38, 33, 29, 24, 21, 32, 39, 43, 38, 33, 28, 24, 35, 42, 46, 44, 37, 32,
  27, 37, 43, 49, 48, 42, 34, 28, 41, 46, 49, 51, 44, 36, 30,  3,  5,  6,  8,
   8,  6,  4,  2,  5,  6,  8,  8,  6,  5,  1,  4,  6,  8,  9,  8,  6,  2,  4,
   7,  9, 11,  9,  8,  4,  6,  8, 10, 12, 10,  8, 10, 10, 12, 12, 12, 10,  8,
  15, 15, 13, 12, 12, 10,  8,  1,  4,  5,  7,  5,  4,  2,  1,  3,  5,  6,  5,
   3,  2,  2,  2,  5,  6,  6,  5,  4,  2,  3,  5,  7,  7,  6,  6,  5,  6,  8,
  10,  9,  7,  6, 12, 11, 12, 12, 10,  8,  6, 19, 16, 14, 12, 10,  8,  6,  2,
   1,  2,  2,  3,  1,  3,  2,  1,  1,  1,  1,  0,  3,  3,  1,  1,  2,  2,  2,
   4,  7,  3,  5,  5,  5,  5,  5, 11,  8,  9,  9,  9,  8,  5, 15, 14, 13, 12,
  11,  9,  5, 21, 18, 16, 14, 12, 11,  9,  2,  5,  5,  5,  5,  4,  6,  7,  6,
   6,  6,  6,  6,  6, 11,  6,  7,  8,  9,  9,  7, 14,  9, 12, 12, 12, 12, 10,
  14, 14, 17, 16, 17, 16, 13, 16, 21, 21, 20, 19, 17, 16, 21, 27, 25, 22, 20,
  18, 18, 14, 13, 13, 13, 13, 13,  6, 16, 15, 14, 14, 14, 13,  6, 17, 16, 16,
  17, 17, 16, 12, 17, 21, 21, 21, 22, 19, 15, 19, 27, 27, 26, 25, 23, 18, 23,
  30, 32, 30, 27, 25, 20, 27, 33, 34, 31, 29, 27, 21, 23, 23, 22, 21, 18, 15,
  10, 23, 26, 23, 22, 19, 16, 12, 23, 28, 26, 25, 23, 19, 16, 23, 29, 32, 29,
  27, 23, 19, 26, 33, 37, 34, 31, 26, 21, 31, 37, 40, 40, 33, 28, 23, 33, 38,
  42, 42, 35, 29, 24, 30, 34, 30, 25, 20, 16, 13, 29, 34, 33, 27, 22, 20, 16,
  30, 34, 36, 30, 26, 23, 19, 29, 36, 40, 34, 30, 27, 23, 33, 39, 43, 41, 35,
  30, 25, 37, 41, 46, 46, 37, 31, 27, 40, 44, 47, 47, 40, 34, 28,  6,  7,  9,
  12, 11,  9,  6,  5,  6,  8, 11, 11,  8,  6,  4,  6,  8, 10, 11,  9,  8,  3,
   6,  9, 10, 13, 11,  9,  5,  7,  9, 11, 14, 12,  9,  9, 10, 11, 12, 14, 12,
   9, 15, 14, 12, 12, 13, 12,  9,  4,  6,  7,  9,  8,  6,  4,  3,  6,  7,  8,
   7,  5,  3,  1,  5,  7,  8,  7,  6,  5,  1,  4,  8,  9,  8,  8,  6,  5,  7,
   9, 10,  9,  9,  6, 11, 11, 12, 12, 10,  8,  6, 18, 16, 13, 12, 10,  8,  6,
   1,  5,  5,  4,  5,  4,  2,  1,  3,  4,  4,  4,  3,  0,  1,  2,  4,  4,  3,
   3,  2,  2,  3,  5,  5,  4,  4,  4,  7,  8,  8,  7,  8,  6,  4, 14, 13, 12,
  10,  8,  7,  4, 20, 17, 14, 11,  9,  7,  5,  1,  2,  2,  2,  2,  3,  5,  2,
   3,  2,  2,  3,  3,  3,  7,  4,  4,  5,  5,  5,  4, 10,  7,  8,  8,  8,  8,
   6, 10, 13, 12, 12, 12, 11,  9, 14, 19, 17, 15, 14, 13, 11, 19, 23, 20, 17,
  15, 14, 13, 11, 10,  9,  9, 10,  9,  5, 13, 12, 11, 10, 11,  9,  3, 13, 13,
  13, 14, 13, 11,  8, 13, 18, 17, 16, 17, 15, 12, 16, 23, 22, 21, 21, 18, 13,
  20, 26, 27, 25, 22, 20, 15, 23, 28, 31, 26, 24, 22, 16, 19, 19, 17, 16, 15,
  11,  8, 19, 22, 18, 17, 15, 11,  8, 19, 23, 21, 20, 17, 14, 12, 20, 25, 25,
  24, 22, 18, 15, 22, 28, 31, 28, 25, 22, 17, 27, 31, 36, 33, 27, 23, 19, 29,
  34, 38, 35, 29, 25, 20, 25, 27, 25, 19, 16, 13, 10, 25, 27, 27, 20, 17, 14,
  11, 25, 28, 29, 24, 21, 18, 15, 25, 29, 34, 29, 25, 21, 18, 28, 33, 36, 34,
  30, 24, 20, 31, 35, 40, 38, 32, 26, 21, 35, 38, 41, 41, 34, 28, 23,  3,  7,
  12, 15, 16, 14, 11,  2,  5, 10, 14, 15, 14,  8,  2,  4,  8, 11, 13, 11,  6,
   2,  2,  5,  8, 10, 10,  5,  2,  2,  3,  6,  8,  9,  5,  5,  6,  6,  5,  7,
   9,  5, 12, 11,  8,  4,  7,  9,  5,  2,  4,  8, 12, 13, 11,  5,  2,  3,  7,
  10, 12,  9,  3,  2,  2,  5,  7,  8,  6,  2,  1,  2,  2,  4,  5,  3,  2,  2,
   3,  3,  3,  3,  3,  2,  7,  7,  7,  6,  3,  2,  2, 15, 13,  9,  7,  4,  3,
   2,  2,  2,  3,  5,  6,  4,  2,  1,  2,  2,  3,  4,  3,  1,  0,  2,  2,  2,
   2,  2,  1,  1,  1,  1,  1,  1,  1,  1,  4,  4,  4,  4,  4,  3,  2, 10,  9,
   9,  8,  5,  3,  2, 17, 16, 12,  9,  6,  4,  2,  0,  1,  1,  1,  2,  2,  4,
   1,  1,  1,  1,  1,  1,  5,  1,  2,  2,  3,  3,  3,  5,  4,  4,  5,  5,  5,
   6,  7,  5,  9,  8,  9,  9,  8,  7, 11, 14, 13, 13, 11, 10,  9, 17, 20, 17,
  15, 13, 12, 11,  8,  8,  8,  9,  9,  8,  5, 10, 10,  9, 10, 10,  9,  5, 10,
  11, 11, 11, 12, 11,  6, 10, 14, 13, 14, 14, 13,  9, 12, 18, 18, 18, 18, 17,
  11, 16, 21, 22, 21, 20, 19, 13, 19, 24, 24, 22, 21, 20, 16, 17, 18, 18, 18,
  15, 11,  7, 17, 20, 19, 19, 16, 12,  7, 17, 22, 22, 21, 19, 14,  9, 17, 22,
  23, 22, 20, 17, 13, 18, 24, 26, 24, 23, 20, 15, 21, 26, 29, 28, 24, 21, 17,
  23, 28, 30, 29, 26, 22, 18, 25, 28, 26, 22, 19, 14,  9, 24, 28, 28, 24, 20,
  16, 10, 24, 29, 31, 24, 21, 17, 13, 24, 29, 31, 26, 23, 20, 17, 25, 28, 32,
  30, 25, 22, 18, 27, 29, 33, 32, 27, 23, 20, 28, 31, 33, 34, 29, 24, 21,  2,
   2,  3,  5,  5,  3,  2,  2,  2,  3,  4,  5,  2,  2,  2,  2,  2,  3,  3,  2,
   1,  0,  2,  2,  2,  3,  2,  3,  2,  2,  3,  3,  4,  3,  3,  6,  6,  7,  6,
   4,  3,  3, 12, 11,  8,  6,  5,  3,  3,  1,  2,  3,  3,  3,  2,  2,  1,  2,
   2,  3,  2,  2,  1,  1,  2,  2,  2,  2,  2,  1,  2,  1,  2,  2,  2,  1,  3,
   4,  3,  4,  4,  4,  3,  3,  9,  8,  8,  7,  5,  3,  3, 16, 13, 10,  8,  5,
   4,  3,  1,  2,  2,  2,  2,  2,  2,  2,  1,  2,  2,  2,  2,  2,  2,  0,  1,
   1,  1,  1,  3,  2,  2,  2,  1,  2,  2,  5,  6,  5,  5,  5,  5,  4,  5, 12,
  10, 10,  8,  7,  5,  5, 18, 17, 12, 10,  8,  7,  6,  2,  3,  3,  3,  4,  4,
   7,  2,  4,  4,  5,  5,  5,  8,  5,  5,  5,  5,  6,  6,  7,  8,  8,  8,  8,
   9,  9,  9,  9, 13, 12, 12, 13, 12, 11, 12, 18, 16, 16, 15, 13, 12, 18, 23,
  20, 18, 17, 15, 14, 11, 11, 11, 11, 11, 11,  7, 12, 13, 12, 13, 13, 12,  7,
  12, 14, 14, 14, 14, 13,  9, 13, 18, 17, 17, 18, 16, 13, 16, 22, 22, 21, 22,
  19, 14, 19, 26, 27, 26, 24, 22, 16, 24, 29, 31, 28, 26, 23, 18, 19, 21, 20,
  20, 17, 13,  9, 20, 23, 22, 23, 19, 14, 10, 20, 25, 25, 24, 20, 16, 12, 20,
  26, 28, 28, 24, 20, 16, 23, 28, 32, 32, 29, 23, 18, 26, 32, 37, 37, 31, 25,
  20, 28, 34, 39, 39, 33, 28, 22, 28, 34, 32, 26, 20, 16, 12, 28, 34, 34, 27,
  22, 17, 13, 27, 34, 38, 30, 24, 20, 16, 28, 34, 39, 34, 28, 23, 20, 30, 36,
  41, 39, 32, 28, 22, 32, 38, 44, 41, 36, 30, 24, 34, 40, 45, 43, 38, 31, 25,
   2,  4,  5,  6,  6,  5,  4,  1,  4,  5,  6,  6,  5,  4,  0,  3,  5,  5,  5,
   4,  4,  1,  2,  4,  5,  5,  5,  6,  3,  4,  6,  6,  7,  6,  6,  8,  8,  9,
   9,  8,  6,  6, 13, 12, 11,  9,  8,  6,  6,  0,  3,  5,  5,  5,  4,  2,  1,
   2,  4,  5,  5,  4,  2,  1,  1,  4,  4,  4,  3,  2,  2,  2,  3,  5,  4,  5,
   5,  5,  4,  6,  7,  7,  6,  5,  9,  9, 10, 10,  8,  6,  5, 17, 14, 11, 10,
   8,  6,  5,  1,  1,  2,  3,  3,  1,  4,  2,  1,  2,  2,  2,  1,  4,  2,  1,
   0,  0,  0,  0,  5,  4,  2,  3,  3,  3,  3,  6,  8,  6,  7,  7,  7,  6,  6,
  13, 11, 11, 10,  9,  7,  6, 19, 18, 14, 12, 10,  9,  8,  2,  4,  5,  5,  5,
   5,  7,  4,  5,  5,  6,  6,  6,  8,  8,  6,  7,  7,  7,  8,  8, 10,  9, 10,
  10, 11, 11, 10, 11, 14, 14, 15, 15, 14, 13, 13, 20, 19, 18, 17, 15, 15, 19,
  26, 22, 20, 18, 17, 16, 12, 13, 12, 13, 13, 12,  7, 13, 14, 14, 14, 14, 13,
   8, 14, 16, 16, 16, 16, 15, 11, 13, 20, 19, 19, 20, 18, 15, 18, 25, 24, 24,
  24, 21, 16, 22, 28, 30, 28, 26, 23, 18, 26, 31, 33, 29, 28, 25, 20, 22, 23,
  22, 22, 18, 14, 10, 22, 25, 24, 24, 20, 16, 12, 22, 27, 26, 26, 23, 18, 14,
  21, 29, 30, 29, 26, 22, 18, 26, 31, 36, 34, 30, 25, 20, 27, 34, 39, 38, 33,
  27, 21, 31, 37, 41, 41, 34, 28, 23, 29, 35, 34, 27, 22, 17, 13, 29, 36, 36,
  29, 24, 19, 14, 29, 36, 39, 32, 26, 22, 17, 30, 36, 42, 35, 30, 26, 22, 31,
  38, 44, 41, 33, 29, 24, 34, 40, 47, 47, 38, 30, 26, 37, 43, 47, 47, 39, 33,
  27,  2,  6,  9, 11, 11, 10,  7,  2,  5,  8, 11, 11,  9,  6,  0,  3,  7,  9,
  10,  7,  6,  1,  2,  5,  7,  9,  8,  7,  3,  4,  6,  8, 10,  9,  7,  7,  8,
  10, 10, 10,  9,  7, 14, 13, 11, 10, 10,  9,  7,  0,  3,  7, 10,  9,  6,  3,
   1,  2,  5,  8,  9,  6,  2,  1,  1,  4,  6,  6,  4,  2,  2,  2,  4,  6,  6,
   5,  4,  4,  5,  6,  8,  7,  6,  4, 10,  9, 10, 10,  8,  6,  4, 17, 14, 11,
  11,  8,  6,  4,  1,  1,  2,  3,  4,  3,  5,  2,  0,  2,  2,  3,  2,  4,  2,
   1,  0,  0,  0,  0,  3,  4,  2,  3,  3,  3,  3,  5,  8,  6,  7,  7,  7,  6,
   5, 13, 11, 11, 10,  9,  7,  5, 19, 17, 14, 12, 10,  9,  8,  2,  4,  5,  5,
   6,  6,  8,  5,  5,  6,  6,  7,  7,  7, 10,  6,  7,  7,  7,  7,  7, 11,  9,
  10, 11, 11, 10,  9, 12, 14, 14, 15, 14, 14, 12, 13, 20, 19, 18, 17, 16, 14,
  19, 26, 23, 21, 18, 17, 16, 12, 13, 12, 13, 14, 13,  8, 15, 14, 14, 15, 15,
  14,  7, 14, 16, 16, 16, 15, 14, 11, 14, 20, 19, 19, 20, 17, 14, 17, 25, 24,
  23, 24, 21, 16, 21, 28, 30, 28, 26, 23, 18, 25, 31, 33, 30, 27, 25, 20, 22,
  24, 22, 22, 19, 16, 12, 21, 26, 24, 24, 20, 16, 12, 22, 28, 26, 26, 21, 18,
  14, 22, 29, 30, 30, 26, 22, 18, 25, 33, 36, 34, 30, 25, 19, 28, 34, 41, 38,
  33, 27, 22, 31, 37, 42, 41, 36, 29, 23, 30, 35, 34, 28, 23, 18, 14, 29, 36,
  36, 30, 23, 19, 14, 30, 35, 38, 32, 26, 21, 17, 29, 37, 41, 35, 31, 25, 21,
  32, 39, 45, 39, 34, 29, 23, 34, 41, 47, 46, 38, 31, 26, 37, 43, 47, 46, 40,
  33, 27,  3,  6,  9, 13, 13, 10,  7,  2,  5,  8, 12, 12,  9,  6,  0,  4,  7,
  10, 11,  8,  6,  1,  3,  5,  8, 10,  9,  7,  4,  4,  6,  8, 11,  9,  7,  7,
   8, 10, 10, 10,  9,  7, 13, 12, 10, 10, 10,  9,  7,  1,  4,  7, 10, 10,  7,
   3,  1,  2,  6,  9,  9,  6,  2,  1,  1,  5,  7,  7,  4,  2,  1,  2,  4,  6,
   6,  5,  4,  4,  5,  6,  8,  7,  5,  4, 10,  9, 10, 10,  7,  6,  4, 16, 14,
  11, 10,  8,  6,  4,  1,  1,  3,  4,  5,  3,  4,  1,  1,  2,  2,  3,  2,  3,
   2,  1,  0,  0,  0,  1,  3,  4,  2,  3,  3,  3,  3,  4,  8,  6,  7,  7,  7,
   6,  4, 13, 12, 11, 10,  9,  7,  4, 19, 17, 14, 12, 10,  9,  8,  1,  5,  5,
   5,  6,  6,  8,  5,  6,  6,  6,  7,  7,  7,  9,  6,  7,  7,  7,  7,  6, 11,
   8, 11, 11, 10, 11,  8, 12, 14, 15, 15, 15, 14, 12, 13, 19, 19, 18, 17, 15,
  14, 19, 26, 23, 20, 19, 17, 16, 12, 13, 13, 13, 14, 13,  8, 14, 15, 14, 14,
  15, 13,  7, 15, 16, 16, 16, 16, 14, 11, 14, 20, 20, 20, 20, 18, 14, 17, 25,
  25, 24, 23, 21, 16, 22, 29, 30, 28, 26, 23, 18, 26, 32, 33, 31, 28, 25, 20,
  22, 23, 23, 23, 20, 16, 11, 22, 26, 24, 24, 21, 16, 12, 23, 29, 27, 26, 22,
  17, 14, 23, 29, 31, 29, 26, 22, 18, 25, 32, 37, 34, 30, 25, 19, 28, 35, 41,
  38, 33, 27, 22, 31, 36, 41, 40, 34, 30, 23, 31, 35, 33, 27, 22, 18, 14, 30,
  36, 36, 29, 23, 18, 14, 29, 36, 38, 31, 25, 21, 17, 31, 36, 40, 35, 30, 26,
  22, 32, 38, 43, 40, 34, 29, 23, 36, 41, 45, 45, 37, 31, 25, 37, 43, 46, 46,
  40, 34, 27,  3,  6,  8,  9,  9,  7,  5,  2,  6,  7,  9,  9,  6,  4,  1,  4,
   6,  8,  8,  6,  5,  1,  3,  5,  7,  9,  8,  6,  4,  4,  7,  8, 11,  9,  6,
   8,  8, 10, 10, 10,  9,  6, 13, 12, 10, 10, 10,  9,  6,  0,  4,  6,  8,  7,
   5,  3,  1,  3,  5,  7,  6,  4,  2,  1,  1,  5,  6,  4,  3,  2,  2,  2,  4,
   6,  5,  5,  4,  5,  5,  6,  8,  7,  6,  4, 10,  9, 10, 10,  7,  6,  4, 16,
  13, 11, 10,  8,  6,  4,  1,  1,  3,  3,  4,  3,  5,  2,  1,  2,  3,  3,  2,
   3,  2,  1,  0,  0,  0,  0,  2,  4,  2,  3,  3,  3,  3,  4,  9,  7,  7,  7,
   7,  6,  4, 14, 11, 11, 10,  9,  7,  4, 18, 16, 13, 11, 10,  9,  8,  2,  5,
   5,  6,  6,  6,  8,  5,  6,  6,  6,  7,  7,  6,  9,  6,  7,  7,  8,  7,  6,
  11,  8, 11, 11, 10, 11,  8, 12, 14, 15, 14, 15, 14, 11, 13, 20, 19, 18, 16,
  16, 14, 18, 25, 22, 20, 18, 17, 16, 13, 13, 13, 13, 14, 13,  8, 15, 15, 14,
  15, 15, 13,  7, 15, 16, 16, 16, 16, 14, 10, 15, 20, 20, 20, 20, 18, 15, 18,
  25, 24, 23, 24, 21, 16, 22, 28, 29, 28, 26, 23, 18, 25, 30, 32, 29, 28, 25,
  20, 23, 24, 23, 22, 19, 16, 11, 23, 26, 24, 22, 20, 16, 11, 23, 28, 26, 24,
  21, 18, 14, 22, 29, 31, 28, 25, 22, 18, 25, 31, 35, 34, 29, 24, 19, 28, 33,
  39, 37, 31, 26, 22, 31, 35, 41, 39, 33, 27, 23, 29, 34, 32, 26, 22, 18, 14,
  30, 34, 33, 27, 22, 18, 14, 29, 33, 36, 29, 24, 21, 17, 29, 34, 39, 34, 29,
  26, 21, 32, 37, 42, 38, 34, 27, 23, 34, 40, 44, 44, 35, 29, 25, 37, 41, 45,
  45, 37, 31, 27,  7,  9, 11, 13, 13, 11,  8,  6,  8, 10, 12, 13, 10,  6,  5,
   7,  9, 11, 11,  8,  6,  3,  6,  7, 10, 12, 10,  8,  4,  6,  8, 10, 13, 10,
   8,  7,  8,  9, 10, 12, 10,  7, 11, 10,  9,  9, 11, 11,  8,  5,  7,  9, 11,
  10,  7,  5,  4,  6,  8, 10,  9,  6,  4,  1,  6,  7,  9,  7,  5,  3,  0,  4,
   6,  8,  7,  6,  5,  4,  5,  7,  8,  8,  7,  5,  9,  8,  9, 10,  7,  7,  5,
  13, 11, 10,  9,  8,  6,  5,  2,  6,  6,  6,  6,  5,  4,  0,  4,  5,  5,  5,
   4,  2,  1,  3,  5,  3,  3,  3,  0,  1,  2,  3,  3,  3,  3,  2,  6,  6,  6,
   5,  5,  4,  2, 12, 10,  8,  8,  6,  4,  2, 15, 13, 10,  8,  6,  5,  3,  1,
   2,  3,  3,  4,  5,  6,  1,  3,  3,  4,  4,  4,  5,  4,  5,  4,  4,  4,  4,
   4,  7,  7,  7,  6,  6,  6,  5,  8, 12, 11, 10, 10,  9,  8, 12, 16, 14, 13,
  12, 11, 10, 15, 20, 16, 14, 14, 12, 11, 11, 10, 10, 10, 11, 10,  6, 12, 12,
  11, 11, 12, 10,  5, 12, 14, 13, 12, 12, 10,  7, 12, 17, 15, 15, 15, 13, 10,
  15, 22, 20, 19, 18, 16, 12, 19, 23, 25, 22, 20, 18, 13, 20, 25, 27, 24, 22,
  19, 15, 19, 19, 18, 17, 15, 12,  9, 19, 22, 19, 18, 16, 12,  8, 19, 23, 21,
  19, 16, 13, 10, 19, 23, 24, 22, 19, 17, 13, 21, 27, 29, 27, 23, 20, 15, 24,
  28, 34, 29, 25, 20, 17, 26, 30, 34, 34, 27, 23, 18, 25, 28, 26, 20, 17, 14,
  11, 25, 28, 28, 22, 18, 14, 11, 25, 28, 30, 23, 19, 16, 12, 25, 29, 32, 27,
  23, 19, 16, 27, 31, 36, 33, 27, 22, 18, 29, 33, 38, 36, 29, 24, 20, 30, 36,
  38, 38, 32, 26, 21,  6, 10, 15, 18, 18, 17, 15,  5,  9, 13, 16, 17, 15, 12,
   3,  7, 11, 14, 15, 13, 10,  2,  5,  8, 11, 13, 13,  9,  2,  2,  6,  9, 11,
  13, 10,  5,  5,  5,  8, 11, 13, 10, 11, 10,  6,  6, 10, 13,  9,  3,  7, 12,
  15, 15, 13, 10,  2,  6, 10, 13, 15, 13,  7,  2,  4,  8, 11, 12, 10,  4,  2,
   2,  5,  8,  8,  8,  3,  2,  3,  3,  6,  7,  7,  3,  7,  7,  6,  5,  5,  6,
   3, 14, 12,  9,  5,  4,  4,  3,  2,  4,  7,  9, 10,  9,  4,  2,  3,  5,  7,
   8,  7,  2,  1,  2,  4,  5,  4,  4,  1,  0,  2,  1,  1,  2,  1,  2,  4,  4,
   4,  4,  4,  3,  2, 10, 10,  9,  8,  6,  3,  2, 16, 15, 11,  9,  7,  4,  2,
   1,  1,  1,  2,  2,  3,  3,  0,  1,  1,  1,  1,  1,  4,  1,  1,  2,  2,  2,
   2,  4,  3,  3,  3,  4,  4,  4,  5,  5,  8,  7,  8,  8,  7,  6, 10, 13, 12,
  12, 10,  9,  8, 16, 18, 15, 13, 12, 11, 10,  7,  7,  8,  8,  9,  7,  3,  9,
   9,  9, 10,  9,  8,  4,  9, 10, 11, 11, 11, 10,  5,  9, 13, 13, 13, 13, 12,
   8, 11, 16, 16, 16, 15, 15, 10, 14, 19, 19, 18, 17, 16, 12, 18, 21, 21, 19,
  18, 17, 14, 16, 16, 16, 16, 14, 11,  6, 16, 19, 17, 17, 15, 12,  7, 16, 20,
  19, 18, 16, 13,  8, 15, 20, 20, 19, 17, 15, 12, 17, 21, 23, 21, 19, 17, 14,
  19, 22, 25, 24, 21, 18, 15, 21, 23, 27, 25, 22, 18, 16, 21, 25, 23, 19, 17,
  14,  9, 21, 25, 26, 20, 17, 15, 10, 22, 25, 27, 21, 18, 15, 12, 21, 24, 28,
  22, 18, 17, 15, 20, 25, 29, 26, 21, 19, 16, 22, 26, 29, 28, 23, 20, 17, 24,
  27, 30, 30, 24, 21, 18,  3,  3,  5,  8,  8,  6,  3,  2,  3,  4,  7,  8,  5,
   3,  2,  3,  4,  5,  6,  4,  2,  2,  2,  3,  3,  4,  2,  2,  1,  2,  2,  2,
   3,  2,  2,  5,  5,  5,  4,  3,  2,  2, 11,  9,  7,  5,  3,  2,  2,  2,  3,
   4,  6,  5,  4,  3,  2,  3,  4,  5,  5,  3,  2,  1,  2,  3,  3,  3,  3,  2,
   1,  1,  2,  2,  2,  2,  2,  2,  2,  3,  3,  2,  2,  2,  7,  6,  7,  6,  3,
   2,  2, 14, 12,  8,  6,  4,  2,  2,  1,  2,  3,  3,  3,  3,  3,  1,  2,  3,
   3,  3,  3,  3,  1,  2,  2,  2,  2,  2,  2,  2,  0,  1,  1,  1,  1,  2,  4,
   4,  3,  3,  4,  2,  3, 10,  9,  8,  7,  5,  3,  3, 17, 15, 11,  8,  6,  5,
   4,  2,  3,  3,  4,  4,  4,  7,  2,  4,  4,  5,  5,  5,  8,  3,  5,  5,  6,
   6,  6,  8,  5,  6,  6,  6,  7,  7,  8,  6, 10, 10, 10, 10, 10,  9, 10, 16,
  15, 14, 13, 11, 11, 16, 21, 18, 16, 14, 13, 12, 10, 11, 11, 11, 12, 11,  7,
  11, 12, 12, 12, 13, 12,  8, 12, 13, 14, 14, 14, 13,  9, 12, 16, 16, 15, 15,
  15, 11, 14, 20, 19, 19, 19, 17, 12, 17, 23, 25, 24, 22, 20, 14, 20, 27, 29,
  26, 24, 22, 16, 19, 21, 21, 20, 18, 14,  9, 20, 23, 23, 23, 19, 14, 10, 19,
  25, 25, 24, 21, 16, 11, 19, 24, 26, 26, 22, 18, 14, 21, 26, 31, 29, 27, 21,
  16, 23, 29, 34, 34, 28, 24, 17, 26, 31, 35, 34, 31, 25, 20, 28, 34, 32, 26,
  22, 17, 12, 27, 34, 34, 28, 23, 18, 13, 27, 33, 37, 30, 24, 19, 14, 28, 33,
  38, 31, 26, 22, 18, 27, 34, 39, 36, 30, 25, 19, 29, 36, 39, 39, 33, 27, 22,
  33, 37, 39, 41, 34, 30, 24,  5,  8,  9, 10, 10,  9,  8,  4,  7,  9, 10,  9,
   8,  7,  3,  6,  8,  8,  8,  7,  5,  2,  4,  6,  6,  7,  5,  4,  1,  2,  4,
   5,  5,  5,  4,  5,  5,  7,  6,  5,  5,  4, 10, 10,  8,  7,  6,  5,  4,  3,
   6,  8,  9,  8,  8,  6,  2,  5,  7,  9,  8,  7,  5,  1,  4,  7,  7,  7,  6,
   4,  1,  2,  4,  5,  5,  4,  3,  2,  2,  4,  5,  4,  4,  3,  7,  6,  8,  7,
   5,  4,  3, 14, 11,  9,  8,  5,  4,  3,  2,  4,  6,  6,  7,  5,  6,  1,  2,
   5,  5,  6,  5,  5,  1,  2,  3,  3,  3,  3,  3,  1,  1,  0,  0,  0,  0,  3,
   5,  4,  3,  3,  3,  3,  3, 10,  9,  8,  7,  5,  4,  3, 16, 15, 11,  8,  7,
   6,  5,  1,  4,  5,  5,  6,  6,  9,  2,  5,  5,  6,  7,  7,  8,  4,  6,  6,
   6,  6,  7,  7,  7,  7,  7,  7,  7,  8,  7,  8, 11, 11, 11, 11, 10, 10, 10,
  17, 16, 14, 13, 12, 11, 16, 22, 19, 17, 15, 14, 13, 11, 12, 12, 12, 13, 12,
   8, 12, 13, 14, 14, 14, 13,  8, 12, 15, 15, 15, 15, 13,  9, 12, 17, 16, 16,
  16, 15, 11, 15, 21, 21, 20, 20, 18, 13, 18, 25, 26, 25, 22, 19, 14, 23, 27,
  29, 26, 25, 22, 16, 21, 22, 22, 22, 19, 15, 11, 21, 25, 24, 24, 20, 15, 11,
  21, 26, 25, 25, 20, 16, 12, 21, 26, 27, 26, 23, 18, 14, 21, 28, 31, 31, 27,
  21, 16, 24, 30, 37, 35, 29, 23, 18, 28, 33, 37, 38, 31, 25, 20, 29, 33, 34,
  27, 22, 18, 13, 28, 36, 36, 29, 23, 18, 14, 28, 35, 38, 30, 24, 19, 14, 28,
  34, 39, 32, 26, 22, 18, 29, 35, 42, 38, 32, 26, 20, 31, 37, 43, 41, 34, 27,
  22, 33, 39, 44, 44, 37, 30, 23,  5,  9, 12, 15, 15, 13, 10,  4,  8, 11, 14,
  15, 12,  9,  3,  6, 10, 13, 13, 10,  7,  2,  4,  7, 10, 11,  8,  7,  1,  2,
   5,  8, 10,  9,  7,  5,  5,  7,  8,  9,  8,  7, 10, 10,  8,  8,  8,  8,  7,
   3,  7, 10, 13, 12, 10,  7,  2,  5,  9, 12, 12,  9,  5,  1,  4,  8, 10, 10,
   7,  4,  1,  2,  5,  7,  7,  5,  3,  3,  2,  4,  6,  6,  6,  3,  7,  6,  8,
   8,  6,  5,  3, 13, 12,  9,  8,  6,  4,  3,  1,  4,  6,  7,  8,  6,  6,  1,
   2,  5,  6,  6,  5,  4,  1,  1,  3,  3,  3,  3,  3,  1,  1,  0,  0,  0,  0,
   3,  5,  4,  3,  3,  3,  3,  3, 10,  8,  8,  7,  5,  4,  3, 16, 14, 11,  9,
   7,  5,  5,  1,  4,  5,  5,  6,  7,  8,  1,  5,  6,  6,  7,  7,  7,  5,  6,
   6,  6,  6,  7,  7,  8,  7,  7,  7,  7,  7,  6,  9, 11, 11, 11, 11, 11,  9,
  11, 17, 16, 15, 13, 12, 11, 16, 22, 19, 17, 15, 14, 12, 11, 12, 12, 13, 14,
  13,  9, 12, 14, 13, 14, 15, 13,  8, 12, 15, 15, 14, 15, 13,  9, 12, 17, 16,
  16, 16, 15, 11, 15, 22, 20, 20, 20, 18, 12, 18, 25, 27, 25, 22, 19, 14, 23,
  28, 29, 27, 25, 22, 16, 21, 22, 22, 22, 19, 15, 11, 21, 24, 24, 24, 20, 15,
  11, 21, 26, 26, 25, 20, 16, 11, 21, 26, 28, 26, 22, 18, 15, 22, 27, 31, 30,
  26, 21, 16, 25, 31, 37, 35, 29, 23, 18, 28, 33, 37, 37, 32, 25, 20, 29, 35,
  33, 27, 22, 18, 14, 29, 36, 36, 30, 23, 19, 14, 30, 35, 38, 30, 24, 19, 14,
  29, 35, 40, 33, 27, 22, 18, 28, 35, 40, 38, 31, 25, 20, 31, 37, 43, 40, 34,
  27, 22, 33, 40, 44, 43, 37, 29, 23,  6,  9, 13, 16, 16, 14, 10,  5,  8, 11,
  15, 15, 12,  9,  3,  6, 10, 13, 14, 11,  7,  2,  4,  7, 10, 12,  9,  6,  1,
   3,  5,  8, 11,  9,  6,  5,  6,  7,  8, 10,  9,  6, 10,  9,  8,  8,  9,  9,
   6,  3,  7, 10, 13, 13, 10,  7,  2,  6,  9, 12, 12,  9,  5,  1,  4,  8, 10,
  10,  7,  3,  1,  2,  5,  7,  7,  5,  2,  3,  2,  4,  6,  6,  5,  2,  7,  6,
   8,  8,  5,  5,  2, 13, 10,  9,  8,  6,  4,  3,  1,  4,  6,  7,  8,  6,  6,
   1,  3,  5,  6,  6,  5,  4,  1,  2,  3,  3,  3,  3,  3,  2,  1,  0,  0,  0,
   0,  3,  5,  4,  4,  4,  4,  3,  3, 11,  9,  8,  7,  6,  4,  3, 15, 13, 10,
   9,  7,  6,  5,  1,  5,  5,  6,  6,  7,  9,  2,  6,  6,  6,  7,  7,  7,  5,
   6,  7,  7,  7,  7,  6,  8,  7,  8,  7,  7,  7,  6,  9, 11, 12, 11, 12, 10,
   9, 11, 17, 16, 15, 13, 12, 11, 15, 21, 19, 17, 15, 14, 13, 11, 13, 13, 13,
  14, 13,  9, 12, 14, 14, 14, 15, 13,  8, 12, 16, 15, 15, 15, 13, 10, 13, 18,
  17, 17, 16, 15, 11, 14, 22, 21, 21, 21, 18, 13, 19, 26, 27, 25, 22, 20, 15,
  22, 27, 29, 27, 25, 22, 16, 21, 24, 22, 22, 19, 16, 11, 22, 26, 25, 24, 21,
  16, 11, 21, 28, 26, 25, 20, 16, 12, 21, 27, 27, 27, 23, 19, 15, 23, 28, 34,
  31, 27, 22, 16, 25, 31, 37, 35, 28, 24, 18, 28, 33, 37, 37, 32, 26, 19, 31,
  35, 33, 29, 22, 18, 14, 30, 36, 36, 30, 23, 18, 15, 29, 35, 37, 31, 24, 20,
  14, 31, 36, 39, 33, 28, 22, 18, 29, 35, 40, 37, 32, 26, 20, 31, 38, 42, 41,
  34, 27, 22, 34, 39, 44, 43, 37, 31, 24,  6,  9, 12, 16, 16, 13, 11,  5,  8,
  12, 15, 16, 12,  9,  3,  7, 10, 13, 14, 11,  7,  2,  5,  8, 10, 13,  9,  6,
   1,  3,  6,  8, 12, 10,  7,  5,  5,  7,  8, 11, 10,  6,  8,  7,  7,  7,  9,
   9,  7,  3,  7, 10, 13, 13, 10,  7,  2,  6,  9, 12, 12,  9,  5,  1,  4,  8,
  10, 10,  7,  3,  1,  2,  5,  7,  7,  5,  3,  3,  2,  4,  6,  6,  5,  3,  7,
   6,  7,  7,  5,  5,  3, 11,  8,  7,  7,  5,  4,  3,  2,  5,  6,  7,  8,  6,
   6,  1,  3,  5,  6,  6,  5,  4,  1,  2,  4,  3,  3,  3,  3,  2,  1,  0,  0,
   0,  0,  2,  6,  4,  4,  4,  4,  3,  2,  9,  8,  6,  6,  5,  4,  2, 13, 10,
   8,  7,  7,  6,  5,  1,  5,  5,  6,  6,  7,  9,  2,  6,  6,  7,  7,  7,  7,
   6,  6,  7,  7,  7,  7,  6,  8,  7,  8,  8,  7,  8,  6,  9, 12, 12, 11, 11,
  10,  9, 10, 15, 15, 14, 13, 12, 11, 12, 18, 17, 15, 14, 14, 13, 12, 13, 13,
  13, 14, 13,  9, 13, 14, 14, 15, 15, 13,  7, 13, 16, 16, 15, 15, 13, 10, 13,
  18, 17, 16, 17, 15, 11, 15, 23, 21, 21, 20, 18, 13, 18, 24, 26, 24, 22, 20,
  14, 20, 25, 28, 25, 23, 22, 16, 22, 24, 22, 21, 19, 15, 11, 22, 25, 24, 23,
  20, 16, 12, 22, 28, 26, 24, 20, 16, 12, 22, 26, 27, 25, 22, 19, 15, 23, 29,
  33, 30, 25, 22, 16, 25, 30, 35, 33, 28, 23, 18, 26, 31, 36, 36, 30, 25, 20,
  30, 34, 31, 26, 22, 18, 14, 30, 33, 33, 28, 22, 19, 14, 29, 33, 35, 28, 23,
  19, 15, 29, 34, 37, 30, 26, 22, 18, 29, 34, 39, 36, 29, 24, 21, 31, 36, 40,
  39, 32, 27, 21, 32, 37, 40, 40, 33, 27, 23,  8, 11, 13, 15, 15, 13, 10,  7,
  10, 12, 15, 15, 12,  8,  6,  8, 11, 13, 14, 10,  7,  5,  7,  9, 10, 12,  9,
   6,  2,  5,  7,  9, 12,  9,  6,  3,  5,  6,  8, 11,  9,  6,  4,  5,  6,  8,
  10,  9,  6,  6,  8, 11, 13, 12, 10,  7,  6,  8, 10, 12, 12,  8,  5,  4,  7,
   9, 10,  9,  7,  4,  2,  5,  7,  8,  7,  5,  3,  1,  3,  6,  7,  6,  5,  3,
   3,  4,  5,  6,  6,  5,  3,  6,  5,  5,  6,  5,  4,  3,  4,  7,  7,  7,  8,
   7,  6,  2,  6,  7,  7,  6,  5,  4,  1,  5,  5,  5,  4,  4,  2,  2,  2,  3,
   3,  3,  2,  0,  3,  3,  2,  2,  2,  1,  0,  5,  4,  3,  2,  3,  1,  0,  9,
   5,  4,  3,  2,  2,  2,  2,  4,  4,  5,  6,  8,  8,  1,  5,  4,  5,  6,  5,
   6,  1,  6,  5,  5,  5,  5,  5,  6,  6,  5,  5,  5,  5,  4,  5,  8,  7,  7,
   7,  7,  6,  6, 10,  9,  8,  8,  8,  7,  9, 14, 12, 10, 10,  9,  9, 11, 11,
  11, 11, 12, 11,  8, 12, 13, 12, 12, 12, 11,  6, 12, 14, 14, 13, 12, 11,  7,
  12, 16, 14, 13, 13, 12,  8, 13, 18, 16, 16, 15, 14,  9, 14, 19, 20, 18, 16,
  14, 10, 15, 20, 22, 21, 18, 16, 12, 19, 21, 18, 18, 16, 13,  9, 19, 22, 20,
  19, 17, 13,  9, 20, 24, 22, 20, 16, 13, 10, 20, 24, 23, 21, 17, 15, 11, 19,
  24, 26, 24, 21, 16, 12, 20, 24, 30, 27, 23, 17, 14, 21, 26, 29, 30, 25, 19,
  14, 26, 30, 27, 22, 18, 14, 12, 26, 30, 30, 23, 18, 15, 12, 26, 30, 32, 24,
  19, 16, 12, 26, 30, 33, 26, 21, 16, 14, 25, 29, 34, 30, 24, 19, 15, 25, 30,
  35, 34, 27, 21, 16, 27, 32, 36, 35, 29, 23, 17,  9, 13, 17, 22, 21, 18, 16,
   8, 12, 16, 20, 21, 18, 15,  7, 10, 14, 18, 20, 17, 13,  6,  9, 12, 15, 17,
  15, 11,  4,  5,  8, 11, 13, 14, 12,  2,  3,  6, 10, 12, 14, 12,  7,  5,  5,
   8, 12, 13, 11,  7, 10, 15, 18, 18, 15, 13,  6,  9, 13, 16, 17, 15, 11,  5,
   8, 11, 14, 15, 13,  9,  5,  6,  9, 11, 12, 11,  6,  2,  3,  5,  8,  9, 10,
   6,  3,  3,  4,  6,  8,  8,  6, 10,  8,  4,  5,  6,  6,  5,  5,  8, 10, 11,
  13, 11,  8,  5,  7,  9, 10, 11, 10,  7,  4,  6,  7,  8,  9,  8,  6,  4,  4,
   5,  5,  5,  6,  3,  0,  2,  1,  1,  1,  2,  3,  6,  6,  5,  4,  1,  2,  3,
  11, 10,  7,  5,  2,  1,  2,  5,  6,  6,  7,  7,  8,  7,  4,  5,  6,  6,  7,
   7,  7,  3,  5,  6,  6,  6,  6,  6,  2,  3,  3,  4,  4,  4,  3,  2,  3,  4,
   4,  4,  3,  3,  6,  8,  7,  7,  6,  5,  5, 11, 13,  9,  8,  8,  7,  6,  6,
   7,  7,  7,  8,  7,  7,  7,  8,  8,  9,  9,  7,  7,  7, 10, 10, 10, 11,  9,
   6,  7, 11, 10, 10, 10, 10,  5,  7, 11, 10, 10, 10, 10,  6,  9, 13, 13, 12,
  11, 10,  8, 12, 15, 15, 13, 12, 11,  9, 14, 15, 14, 14, 13,  9,  7, 14, 16,
  15, 15, 14, 11,  6, 14, 17, 16, 16, 14, 11,  7, 14, 16, 16, 15, 14, 11,  8,
  13, 15, 17, 16, 14, 11,  9, 13, 16, 20, 18, 14, 12, 10, 15, 18, 20, 19, 16,
  13, 10, 18, 23, 21, 17, 15, 12,  8, 18, 22, 23, 18, 16, 13,  9, 18, 23, 24,
  18, 16, 13, 10, 19, 22, 24, 19, 15, 13, 10, 17, 20, 23, 20, 16, 13, 11, 17,
  20, 23, 22, 18, 14, 11, 18, 22, 24, 24, 19, 15, 12,  7,  8, 10, 12, 12, 11,
   9,  6,  8,  9, 12, 12,  9,  8,  6,  7,  8, 10, 11,  8,  6,  6,  6,  6,  7,
   9,  6,  3,  3,  3,  4,  4,  4,  3,  2,  1,  2,  2,  2,  3,  3,  2,  7,  6,
   3,  2,  3,  3,  2,  6,  7,  8, 10, 10,  9,  8,  6,  7,  8, 10,  9,  8,  7,
   5,  6,  7,  8,  8,  7,  5,  4,  5,  5,  6,  5,  5,  2,  2,  2,  2,  3,  2,
   2,  2,  3,  3,  3,  2,  2,  2,  2, 10,  8,  5,  3,  1,  2,  2,  5,  6,  7,
   8,  9,  9,  8,  4,  6,  7,  8,  8,  8,  8,  4,  5,  6,  6,  6,  6,  6,  4,
   4,  4,  4,  4,  4,  3,  2,  0,  1,  1,  1,  2,  3,  6,  5,  5,  3,  1,  1,
   2, 12, 11,  7,  4,  2,  1,  2,  4,  6,  7,  8,  9,  9,  9,  4,  5,  7,  8,
   8,  8,  9,  3,  5,  6,  7,  7,  7,  7,  4,  4,  5,  5,  5,  5,  5,  3,  6,
   6,  6,  7,  7,  7,  6, 12, 11, 10,  9,  7,  8, 12, 17, 14, 12, 10,  9,  9,
   9, 10, 10, 10, 11, 10,  9, 10, 11, 11, 12, 12, 11,  9, 11, 12, 13, 13, 13,
  12,  8, 10, 14, 13, 14, 14, 13,  8, 11, 16, 16, 16, 16, 14,  9, 13, 19, 21,
  20, 19, 16, 11, 17, 22, 24, 22, 20, 18, 12, 18, 20, 20, 20, 17, 13,  9, 18,
  22, 22, 22, 19, 14,  9, 18, 24, 24, 24, 19, 15, 10, 19, 23, 25, 24, 21, 16,
  11, 17, 23, 27, 25, 23, 18, 13, 19, 25, 31, 28, 25, 20, 14, 23, 28, 31, 30,
  26, 22, 16, 27, 33, 32, 26, 21, 16, 11, 26, 32, 33, 28, 23, 17, 12, 27, 32,
  35, 28, 23, 18, 13, 26, 32, 36, 29, 25, 19, 14, 26, 31, 33, 31, 26, 22, 16,
  25, 30, 35, 33, 28, 23, 18, 27, 31, 34, 35, 30, 25, 20,  9, 11, 12, 14, 13,
  13, 12,  8, 11, 12, 13, 13, 11, 10,  6, 10, 11, 12, 12, 10,  8,  5,  8,  9,
  10, 10,  8,  5,  2,  5,  6,  6,  6,  5,  4,  1,  3,  4,  5,  5,  5,  4,  7,
   7,  5,  4,  5,  5,  4,  6, 10, 11, 13, 12, 12, 10,  5,  9, 11, 12, 12, 11,
   9,  4,  7, 10, 11, 10,  9,  7,  4,  5,  7,  8,  8,  7,  4,  2,  2,  4,  5,
   5,  4,  4,  4,  3,  5,  4,  4,  4,  4, 10,  8,  6,  5,  3,  4,  4,  5,  7,
   9, 10, 11, 10, 10,  4,  6,  8,  9, 10,  8,  8,  4,  5,  7,  7,  7,  7,  6,
   4,  3,  3,  3,  4,  4,  2,  2,  1,  0,  0,  0,  1,  2,  6,  5,  4,  3,  2,
   1,  2, 12, 10,  7,  5,  4,  3,  2,  4,  6,  7,  8, 10, 11, 10,  3,  6,  7,
   8,  9,  9,  9,  3,  6,  7,  7,  7,  7,  7,  6,  6,  6,  6,  6,  7,  6,  4,
   8,  7,  8,  8,  8,  8,  7, 13, 12, 11, 10,  9,  9, 12, 18, 15, 13, 11, 10,
  10, 11, 12, 12, 12, 13, 12, 10, 11, 13, 13, 13, 14, 12,  9, 12, 14, 14, 14,
  14, 13,  9, 11, 16, 15, 15, 15, 14,  9, 12, 18, 17, 17, 17, 15, 11, 14, 20,
  21, 21, 19, 16, 12, 18, 23, 26, 23, 21, 18, 13, 20, 22, 22, 22, 19, 15, 11,
  19, 24, 23, 24, 19, 15, 11, 20, 26, 24, 24, 20, 15, 11, 20, 25, 26, 26, 21,
  17, 12, 19, 25, 29, 27, 23, 18, 13, 20, 26, 32, 32, 26, 19, 14, 23, 29, 33,
  35, 28, 22, 16, 27, 35, 33, 28, 21, 17, 13, 29, 34, 36, 29, 23, 18, 13, 28,
  35, 38, 30, 24, 19, 14, 29, 34, 38, 30, 25, 20, 15, 27, 34, 38, 34, 28, 22,
  17, 27, 34, 39, 38, 31, 24, 19, 30, 36, 40, 41, 34, 26, 21,  9, 13, 16, 19,
  18, 17, 14,  8, 11, 15, 18, 18, 16, 13,  6, 10, 14, 16, 16, 13, 10,  5,  8,
  11, 13, 14, 11,  8,  2,  5,  7, 10, 11,  9,  7,  2,  3,  5,  7, 10,  9,  7,
   7,  6,  6,  7,  9,  9,  7,  7, 10, 14, 16, 16, 14, 11,  5,  9, 12, 15, 16,
  13,  9,  4,  7, 11, 13, 13, 11,  7,  4,  5,  8, 10, 10,  9,  4,  2,  2,  4,
   7,  7,  7,  4,  4,  3,  5,  5,  5,  6,  4,  9,  7,  6,  5,  4,  5,  4,  5,
   7,  9, 10, 12, 10,  9,  4,  6,  8,  9, 10,  9,  8,  4,  5,  7,  7,  7,  7,
   5,  4,  3,  3,  3,  4,  4,  2,  1,  1,  0,  0,  0,  1,  2,  6,  5,  4,  3,
   2,  1,  2, 11,  9,  7,  5,  3,  2,  2,  4,  6,  7,  8,  9, 11, 10,  4,  6,
   7,  8,  8,  9,  8,  3,  6,  7,  6,  6,  7,  7,  6,  6,  6,  6,  6,  6,  5,
   5,  8,  7,  7,  8,  8,  7,  7, 13, 12, 11, 10,  9,  9, 11, 17, 15, 13, 11,
  10, 10, 11, 12, 12, 12, 13, 13, 10, 11, 13, 13, 14, 14, 13,  8, 11, 14, 15,
  14, 14, 12,  9, 11, 17, 15, 15, 15, 13,  9, 11, 18, 17, 17, 17, 15, 10, 15,
  21, 22, 21, 19, 16, 12, 19, 23, 25, 23, 21, 18, 13, 21, 22, 22, 21, 19, 15,
  11, 20, 24, 24, 23, 20, 15, 10, 21, 26, 26, 24, 20, 15, 11, 20, 26, 26, 25,
  21, 16, 12, 19, 25, 29, 27, 23, 18, 13, 21, 26, 33, 32, 25, 20, 15, 24, 30,
  33, 33, 28, 22, 16, 28, 35, 33, 27, 21, 17, 13, 29, 35, 36, 29, 22, 18, 13,
  29, 35, 39, 30, 23, 18, 14, 29, 34, 38, 32, 25, 19, 14, 28, 33, 39, 34, 27,
  22, 17, 28, 33, 39, 38, 30, 24, 18, 29, 34, 39, 40, 33, 26, 20,  9, 13, 16,
  20, 20, 18, 15,  8, 12, 15, 19, 20, 17, 13,  7, 10, 14, 17, 18, 14, 11,  5,
   8, 11, 14, 16, 13,  8,  3,  5,  7, 10, 13, 10,  8,  2,  3,  5,  8, 11, 10,
   8,  3,  4,  4,  7, 10, 11,  8,  7, 10, 14, 17, 16, 14, 11,  5,  9, 13, 17,
  16, 12,  9,  5,  8, 11, 14, 14, 11,  7,  4,  6,  8, 11, 10,  9,  4,  2,  2,
   5,  7,  7,  7,  4,  3,  2,  4,  5,  6,  6,  4,  6,  3,  3,  5,  4,  5,  4,
   5,  8, 10, 11, 12, 10, 10,  4,  6,  8,  9, 10,  9,  8,  4,  5,  7,  7,  7,
   7,  5,  4,  4,  3,  4,  4,  4,  2,  1,  1,  0,  0,  0,  1,  2,  5,  3,  3,
   2,  2,  1,  2,  7,  5,  4,  4,  3,  2,  2,  4,  6,  7,  8,  9, 11, 10,  4,
   6,  7,  8,  9,  9,  8,  3,  6,  7,  6,  7,  7,  6,  6,  6,  6,  6,  6,  6,
   5,  5,  8,  8,  8,  8,  7,  7,  5, 10, 10, 10, 10,  8,  8,  7, 13, 12, 11,
  11, 10, 10, 11, 12, 12, 13, 13, 12, 10, 12, 13, 13, 14, 14, 13,  8, 12, 15,
  15, 14, 14, 13,  9, 11, 17, 15, 15, 15, 13,  9, 12, 18, 17, 17, 16, 15, 10,
  14, 19, 21, 19, 19, 16, 12, 15, 20, 23, 21, 21, 18, 13, 22, 22, 22, 21, 19,
  15, 11, 21, 24, 23, 23, 19, 15, 11, 20, 26, 25, 24, 20, 15, 11, 21, 25, 26,
  26, 21, 16, 12, 20, 25, 30, 27, 23, 18, 13, 21, 26, 32, 31, 25, 19, 15, 21,
  26, 32, 31, 27, 21, 16, 29, 35, 32, 26, 22, 17, 13, 29, 34, 35, 29, 23, 18,
  14, 29, 35, 37, 30, 23, 18, 14, 29, 34, 38, 31, 25, 20, 15, 28, 32, 37, 33,
  27, 22, 16, 28, 34, 38, 36, 30, 24, 18, 29, 34, 39, 39, 32, 26, 20,  8, 12,
  16, 19, 20, 17, 14,  7, 11, 15, 19, 19, 16, 12,  6,  9, 13, 16, 17, 14, 10,
   4,  7, 10, 13, 15, 12,  8,  1,  4,  7,  9, 13, 11,  8,  2,  3,  5,  8, 12,
  11,  8,  4,  4,  4,  7, 10, 11,  8,  6, 10, 13, 16, 16, 14, 10,  5,  8, 12,
  15, 16, 12,  8,  3,  7, 11, 13, 13, 10,  6,  3,  5,  8, 10,  9,  8,  4,  1,
   2,  4,  7,  7,  7,  4,  3,  3,  4,  6,  5,  6,  4,  6,  4,  3,  5,  4,  4,
   4,  4,  7,  9, 10, 11,  9,  8,  3,  5,  8,  9,  9,  8,  6,  3,  4,  6,  6,
   6,  6,  4,  3,  2,  3,  3,  3,  3,  1,  2,  2,  1,  1,  1,  0,  1,  4,  3,
   3,  2,  2,  2,  1,  8,  6,  4,  3,  3,  2,  2,  3,  5,  6,  7,  8, 10,  9,
   2,  6,  6,  7,  7,  8,  7,  3,  6,  6,  6,  6,  6,  6,  6,  6,  6,  6,  6,
   6,  5,  6,  8,  8,  8,  8,  8,  7,  5, 10, 10,  9,  9,  8,  8,  8, 14, 12,
  11, 10, 10, 10, 11, 12, 12, 12, 13, 13,  9, 12, 14, 13, 14, 14, 12,  7, 12,
  15, 15, 14, 14, 13,  8, 12, 17, 15, 15, 15, 13,  9, 13, 19, 17, 17, 16, 15,
  10, 14, 19, 20, 18, 18, 16, 11, 14, 20, 23, 21, 19, 18, 13, 21, 23, 22, 21,
  18, 14, 10, 22, 25, 23, 23, 19, 15, 11, 21, 26, 25, 23, 19, 15, 11, 21, 25,
  26, 24, 21, 16, 11, 20, 25, 28, 26, 22, 17, 13, 21, 26, 30, 28, 23, 19, 15,
  21, 27, 30, 30, 25, 20, 16, 28, 33, 30, 25, 21, 17, 13, 28, 33, 33, 26, 22,
  18, 13, 29, 33, 35, 27, 22, 18, 14, 29, 32, 35, 29, 23, 19, 15, 27, 32, 36,
  31, 25, 20, 16, 28, 32, 35, 34, 27, 23, 18, 27, 31, 36, 35, 29, 23, 19,  8,
  10, 13, 16, 15, 13, 10,  7, 10, 12, 15, 15, 12,  8,  6,  8, 11, 13, 14, 10,
   7,  5,  6,  9, 10, 13,  9,  6,  2,  5,  7,  9, 12,  9,  6,  3,  5,  6,  8,
  11, 10,  6,  4,  4,  6,  8, 10,  9,  6,  6,  9, 11, 13, 12, 10,  7,  5,  8,
  10, 13, 12,  8,  5,  4,  7,  9, 10,  9,  7,  4,  2,  5,  7,  8,  7,  6,  3,
   1,  3,  5,  7,  6,  5,  3,  3,  3,  5,  6,  5,  5,  3,  6,  4,  5,  6,  5,
   4,  3,  4,  7,  8,  8,  9,  7,  6,  2,  6,  7,  7,  7,  5,  4,  2,  5,  6,
   5,  4,  4,  2,  2,  3,  3,  3,  3,  2,  0,  3,  3,  2,  2,  2,  1,  0,  5,
   4,  3,  2,  2,  1,  0,  8,  5,  3,  3,  2,  2,  1,  2,  4,  4,  5,  7,  8,
   8,  1,  5,  4,  5,  6,  6,  6,  1,  6,  5,  5,  5,  5,  5,  5,  6,  5,  5,
   5,  5,  4,  5,  8,  7,  7,  7,  6,  6,  5, 10,  9,  8,  8,  8,  7,  8, 13,
  12, 10,  9,  9,  9, 11, 11, 11, 11, 12, 11,  8, 12, 12, 12, 13, 12, 11,  6,
  12, 14, 14, 13, 12, 11,  7, 12, 16, 14, 13, 13, 12,  8, 13, 18, 16, 16, 15,
  13,  9, 14, 19, 20, 17, 16, 14, 10, 15, 20, 23, 20, 18, 16, 12, 20, 21, 19,
  18, 15, 13,  9, 20, 22, 20, 18, 16, 13,  9, 20, 24, 22, 20, 16, 13, 10, 20,
  24, 23, 21, 17, 14, 11, 19, 23, 26, 24, 20, 16, 12, 20, 24, 30, 28, 23, 17,
  14, 21, 26, 29, 30, 25, 19, 14, 26, 30, 28, 22, 17, 15, 12, 26, 30, 29, 24,
  18, 15, 11, 26, 30, 32, 25, 19, 16, 12, 25, 29, 33, 26, 21, 17, 13, 25, 29,
  33, 30, 24, 20, 15, 26, 31, 35, 34, 27, 20, 16, 27, 32, 35, 35, 29, 23, 17,
  14, 17, 21, 24, 24, 22, 19, 13, 16, 20, 24, 25, 21, 18, 12, 15, 18, 21, 23,
  19, 15, 12, 13, 15, 17, 21, 16, 12,  9,  9, 11, 14, 14, 15, 12,  5,  5,  8,
  11, 13, 14, 12,  2,  3,  6,  9, 13, 15, 12, 13, 15, 19, 21, 22, 19, 17, 12,
  14, 17, 20, 21, 18, 14, 11, 13, 15, 18, 18, 16, 12, 11, 11, 13, 14, 15, 12,
   7,  8,  8,  9, 10,  9, 10,  7,  3,  3,  5,  7,  9,  9,  7,  3,  3,  3,  6,
   8,  8,  7, 11, 13, 14, 16, 18, 17, 15, 11, 12, 14, 15, 16, 15, 14, 10, 11,
  13, 13, 13, 13, 12, 10, 10, 10, 10, 11,  9,  5,  6,  6,  6,  6,  5,  5,  5,
   0,  2,  1,  2,  4,  4,  5,  4,  4,  2,  1,  3,  4,  5, 10, 11, 13, 14, 15,
  16, 15, 10, 11, 12, 14, 14, 15, 14,  9, 10, 12, 12, 12, 13, 12,  6,  9,  9,
   9, 10,  9,  7,  4,  5,  4,  5,  5,  4,  4,  0,  2,  2,  2,  3,  3,  5,  4,
   6,  3,  3,  3,  4,  5,  9, 10, 12, 13, 14, 15, 15,  8,  9, 11, 12, 13, 13,
  14,  8,  9, 10, 10, 11, 11, 12,  8,  8,  8,  8,  9,  8,  5,  5,  8,  7,  7,
   7,  6,  5,  4,  7,  7,  7,  7,  7,  5,  5,  8,  9,  8,  8,  8,  5, 11, 12,
  12, 13, 12, 14, 15, 11, 13, 13, 13, 12, 12, 13, 11, 14, 14, 13, 11, 10, 11,
  11, 13, 13, 13, 11,  9,  5,  9, 11, 13, 12, 10,  8,  5,  8, 11, 14, 13, 11,
   8,  6,  8, 12, 15, 15, 11,  9,  7, 15, 19, 18, 15, 13, 13, 14, 15, 19, 20,
  16, 13, 11, 12, 15, 18, 21, 16, 14, 11,  9, 15, 18, 20, 15, 13,  9,  6, 14,
  16, 19, 16, 11,  9,  7, 13, 15, 18, 17, 13, 10,  8, 12, 16, 19, 19, 14, 11,
   8, 12, 14, 15, 17, 17, 16, 14, 12, 13, 15, 16, 17, 14, 13, 11, 12, 14, 15,
  15, 12, 11, 10, 11, 11, 12, 12,  8,  4,  8,  8,  8,  8,  6,  5,  4,  4,  4,
   4,  3,  4,  5,  4,  2,  2,  2,  3,  4,  5,  4, 11, 13, 14, 15, 16, 15, 14,
  10, 12, 13, 15, 15, 14, 12, 10, 11, 13, 13, 13, 12, 10,  9, 10, 10, 10, 11,
   9,  4,  7,  7,  7,  7,  4,  4,  4,  2,  3,  3,  3,  3,  4,  4,  5,  4,  2,
   2,  3,  3,  4, 10, 11, 13, 14, 15, 15, 15,  9, 10, 12, 13, 14, 14, 13,  9,
  10, 12, 12, 12, 11, 10,  9,  9,  9,  9,  9,  8,  4,  5,  5,  5,  5,  3,  3,
   4,  2,  0,  1,  2,  2,  3,  4,  7,  6,  2,  0,  3,  3,  4, 10, 11, 12, 13,
  15, 16, 16,  9, 11, 12, 13, 14, 14, 14,  8, 11, 12, 12, 12, 12, 11,  5,  9,
   9,  9,  9,  8,  7,  3,  5,  5,  5,  5,  5,  5,  2,  7,  7,  6,  6,  6,  7,
   7, 13, 10,  8,  8,  8,  8, 10, 11, 12, 13, 14, 16, 16,  9, 10, 11, 13, 14,
  14, 14,  9, 11, 11, 11, 12, 12, 11,  9, 12, 11, 12, 12, 11,  7,  8, 13, 14,
  13, 14, 13,  9,  9, 15, 17, 17, 16, 15, 10, 12, 17, 19, 18, 18, 16, 11, 16,
  19, 18, 19, 16, 15, 16, 16, 21, 21, 21, 17, 13, 13, 16, 22, 23, 21, 17, 12,
  10, 16, 22, 23, 23, 19, 14, 10, 15, 21, 25, 23, 21, 17, 11, 16, 22, 27, 25,
  21, 18, 13, 18, 22, 26, 25, 23, 20, 15, 25, 30, 29, 25, 19, 15, 14, 25, 30,
  31, 26, 20, 15, 12, 25, 30, 33, 26, 21, 16, 11, 25, 30, 34, 28, 22, 18, 14,
  24, 29, 32, 27, 23, 20, 16, 24, 27, 30, 29, 24, 21, 17, 23, 27, 30, 30, 25,
  22, 19, 13, 16, 17, 18, 18, 17, 16, 12, 15, 17, 18, 18, 16, 14, 11, 14, 16,
  16, 15, 13, 11, 10, 12, 13, 13, 13, 10,  5,  7,  9, 10, 10,  8,  6,  5,  3,
   5,  7,  5,  6,  6,  5,  2,  3,  5,  5,  6,  6,  5, 11, 14, 16, 17, 17, 17,
  15, 10, 13, 15, 16, 17, 15, 13,  9, 12, 15, 15, 14, 13, 10,  9,  9, 12, 13,
  11,  9,  5,  7,  6,  8,  9,  6,  5,  5,  2,  2,  5,  5,  5,  5,  5,  5,  3,
   3,  5,  4,  5,  5,  9, 12, 14, 15, 16, 15, 14,  9, 10, 12, 14, 15, 13, 12,
   9, 10, 11, 11, 11, 11,  9,  9,  8,  8,  8,  8,  7,  3,  5,  5,  5,  4,  3,
   3,  3,  1,  1,  0,  1,  2,  3,  3,  6,  5,  3,  1,  2,  3,  3,  9, 11, 11,
  13, 15, 15, 15,  9, 11, 12, 13, 14, 14, 13,  7, 11, 11, 11, 11, 11, 10,  5,
   9,  8,  8,  8,  7,  7,  3,  5,  5,  6,  6,  6,  6,  2,  8,  8,  7,  7,  8,
   8,  6, 12, 11,  9,  9,  9,  9, 10, 10, 11, 13, 14, 15, 15,  9, 11, 12, 13,
  13, 13, 13, 10, 12, 13, 13, 13, 11,  9, 10, 13, 13, 13, 13, 12,  8,  9, 15,
  14, 15, 15, 14,  9, 10, 16, 18, 17, 17, 15, 11, 13, 18, 21, 18, 18, 17, 13,
  18, 20, 20, 20, 17, 15, 15, 18, 22, 21, 21, 18, 13, 12, 18, 24, 24, 23, 18,
  14, 10, 18, 23, 25, 24, 20, 15, 11, 18, 23, 27, 26, 21, 17, 13, 17, 23, 29,
  28, 24, 18, 14, 19, 25, 29, 31, 26, 20, 16, 27, 33, 32, 25, 20, 16, 14, 26,
  32, 34, 27, 22, 17, 12, 27, 33, 36, 28, 22, 17, 12, 27, 32, 37, 29, 24, 19,
  14, 25, 31, 37, 32, 26, 20, 16, 25, 31, 36, 35, 28, 22, 17, 26, 32, 37, 37,
  30, 24, 19, 12, 16, 19, 22, 22, 20, 18, 12, 15, 18, 21, 21, 19, 15, 10, 13,
  17, 19, 19, 17, 13,  8, 11, 14, 16, 17, 13,  8,  6,  8, 10, 12, 12, 10,  8,
   2,  4,  7,  9, 11, 10,  8,  2,  3,  5,  8, 10, 10,  8, 10, 13, 17, 20, 20,
  17, 14,  9, 12, 16, 19, 19, 16, 12,  8, 11, 14, 17, 16, 14,  9,  8,  9, 11,
  13, 13, 11,  5,  5,  5,  8, 10,  8,  8,  5,  1,  2,  4,  6,  6,  7,  5,  4,
   3,  3,  5,  5,  6,  5,  8, 11, 13, 14, 16, 13, 13,  8,  9, 12, 13, 14, 12,
  11,  7,  8, 10, 10, 10, 10,  7,  8,  7,  7,  7,  7,  6,  2,  4,  3,  3,  3,
   2,  2,  2,  2,  2,  1,  0,  1,  2,  2,  4,  3,  2,  2,  1,  2,  2,  8,  9,
  10, 11, 13, 14, 14,  8,  9, 10, 11, 12, 12, 11,  5,  9, 10,  9,  9,  9,  8,
   5,  8,  7,  6,  7,  6,  6,  3,  6,  6,  6,  6,  6,  6,  2,  8,  8,  7,  7,
   7,  7,  4, 11, 10,  9,  9,  9,  9,  9, 11, 11, 12, 13, 13, 13,  9, 11, 12,
  12, 13, 12, 11, 10, 13, 14, 13, 13, 11,  8, 10, 15, 13, 14, 14, 12,  8, 10,
  16, 15, 15, 15, 13,  9, 11, 16, 18, 17, 16, 14, 11, 12, 17, 20, 19, 18, 17,
  12, 19, 21, 20, 20, 18, 14, 13, 18, 23, 22, 22, 18, 14, 10, 19, 24, 24, 23,
  19, 14, 10, 19, 24, 25, 23, 20, 15, 10, 18, 24, 28, 26, 21, 17, 12, 18, 24,
  30, 29, 23, 18, 13, 18, 24, 30, 30, 25, 19, 15, 27, 34, 32, 26, 20, 16, 12,
  27, 34, 34, 28, 22, 17, 12, 27, 34, 37, 28, 22, 17, 13, 28, 33, 37, 30, 23,
  18, 14, 26, 32, 36, 33, 25, 19, 15, 26, 31, 36, 34, 28, 21, 17, 26, 31, 36,
  37, 29, 24, 18, 11, 15, 18, 21, 22, 20, 16, 10, 14, 17, 21, 22, 18, 14,  8,
  12, 16, 19, 20, 16, 12,  7, 10, 13, 16, 18, 14,  9,  4,  7,  9, 12, 14, 12,
   9,  0,  3,  6,  9, 13, 12,  9,  3,  3,  5,  8, 11, 12,  9,  8, 12, 16, 19,
  18, 16, 12,  7, 11, 14, 18, 18, 14, 10,  6, 10, 13, 16, 15, 13,  9,  6,  7,
  10, 12, 12, 10,  5,  3,  4,  6,  9,  9,  8,  5,  2,  2,  4,  6,  7,  7,  5,
   5,  4,  3,  6,  5,  6,  5,  6, 10, 11, 13, 14, 12, 11,  5,  8, 10, 11, 12,
  11,  8,  5,  7,  9,  9,  9,  9,  6,  6,  5,  5,  5,  6,  5,  3,  1,  1,  2,
   2,  2,  2,  2,  4,  3,  2,  1,  0,  1,  2,  7,  4,  3,  2,  1,  1,  2,  6,
   7,  8,  9, 10, 12, 11,  5,  7,  8,  9,  9,  9,  9,  4,  7,  7,  7,  7,  7,
   6,  5,  6,  6,  5,  5,  5,  5,  3,  7,  6,  6,  6,  6,  6,  4,  9,  8,  8,
   8,  7,  7,  7, 12, 10,  9,  9,  9,  9, 10, 11, 11, 11, 12, 12, 11, 11, 12,
  12, 13, 13, 11,  9, 11, 14, 14, 13, 13, 11,  8, 11, 15, 14, 13, 14, 12,  8,
  11, 17, 16, 15, 15, 13,  9, 12, 17, 18, 17, 16, 15, 10, 13, 17, 20, 19, 18,
  16, 12, 20, 21, 20, 21, 18, 14, 11, 20, 23, 23, 23, 19, 14,  9, 19, 25, 24,
  23, 19, 14, 10, 20, 24, 26, 24, 20, 15, 11, 18, 24, 27, 26, 21, 16, 12, 19,
  23, 30, 29, 23, 18, 14, 19, 24, 29, 31, 25, 20, 15, 28, 34, 32, 26, 21, 16,
  12, 27, 34, 34, 27, 21, 17, 12, 27, 33, 36, 29, 23, 18, 13, 28, 32, 37, 29,
  24, 19, 13, 26, 32, 36, 33, 25, 20, 15, 26, 32, 37, 33, 28, 22, 17, 27, 32,
  35, 36, 30, 23, 18, 10, 14, 18, 21, 21, 18, 15,  9, 12, 16, 20, 21, 17, 13,
   7, 11, 15, 18, 19, 16, 11,  6,  9, 12, 14, 16, 14,  9,  3,  6,  8, 11, 14,
  12,  9,  2,  4,  6,  9, 13, 12,  9,  4,  4,  5,  8, 11, 12,  9,  7, 11, 14,
  18, 18, 15, 11,  6, 10, 13, 17, 17, 13,  9,  5,  8, 12, 14, 14, 12,  8,  4,
   6,  9, 11, 11, 10,  5,  1,  3,  5,  8,  8,  8,  5,  2,  3,  4,  7,  7,  7,
   5,  6,  4,  4,  6,  5,  6,  5,  5,  8, 10, 11, 13, 11,  9,  3,  7,  9, 10,
  11,  9,  7,  3,  6,  7,  8,  7,  7,  4,  3,  3,  4,  4,  4,  4,  1,  2,  1,
   1,  1,  1,  2,  1,  4,  3,  2,  2,  1,  0,  1,  8,  6,  3,  3,  2,  1,  1,
   3,  5,  6,  7,  8, 10,  9,  3,  5,  6,  7,  8,  8,  7,  2,  5,  6,  6,  5,
   6,  5,  5,  6,  6,  5,  5,  5,  4,  4,  8,  7,  6,  7,  6,  6,  4, 10,  8,
   8,  8,  8,  7,  8, 12, 11, 10,  9,  9,  9, 11, 11, 11, 11, 12, 12,  9, 12,
  13, 12, 13, 13, 12,  7, 12, 14, 14, 13, 12, 11,  8, 11, 16, 14, 14, 14, 12,
   8, 12, 18, 17, 15, 16, 13,  9, 13, 18, 19, 18, 16, 15, 11, 14, 18, 21, 19,
  19, 16, 12, 20, 21, 20, 20, 17, 14, 10, 20, 23, 22, 22, 18, 14,  9, 20, 25,
  24, 23, 19, 14, 10, 20, 25, 24, 23, 20, 15, 10, 19, 25, 26, 25, 21, 16, 12,
  20, 25, 29, 28, 22, 18, 14, 20, 25, 29, 30, 24, 19, 15, 28, 33, 29, 24, 20,
  16, 12, 28, 32, 31, 26, 21, 16, 12, 28, 32, 34, 27, 23, 17, 13, 27, 31, 35,
  28, 23, 18, 14, 26, 31, 34, 31, 24, 20, 15, 26, 31, 35, 33, 26, 21, 17, 27,
  30, 35, 35, 29, 22, 18,  8, 11, 12, 16, 15, 13, 10,  7, 10, 12, 15, 15, 12,
   8,  6,  8, 11, 13, 14, 10,  7,  5,  6,  9, 10, 12,  9,  6,  2,  5,  7,  9,
  12,  9,  6,  3,  5,  6,  8, 11,  9,  6,  4,  5,  6,  8, 10,  9,  6,  6,  9,
  11, 13, 12, 10,  7,  5,  8, 10, 12, 12,  8,  5,  4,  7,  9, 10,  9,  7,  4,
   2,  5,  7,  8,  7,  6,  3,  1,  3,  5,  7,  6,  5,  3,  3,  3,  5,  6,  5,
   5,  3,  6,  4,  5,  6,  5,  4,  3,  4,  7,  8,  8,  9,  7,  6,  2,  6,  7,
   7,  7,  5,  4,  2,  5,  6,  5,  4,  4,  2,  2,  3,  3,  3,  3,  2,  0,  3,
   2,  2,  2,  2,  1,  0,  5,  4,  3,  2,  2,  1,  0,  8,  6,  3,  2,  2,  2,
   1,  2,  4,  4,  5,  6,  7,  8,  1,  4,  4,  5,  6,  5,  6,  1,  6,  5,  5,
   5,  5,  5,  5,  6,  5,  5,  5,  5,  4,  5,  8,  7,  7,  7,  7,  6,  5, 10,
   9,  8,  8,  8,  7,  8, 13, 12, 10,  9,  9,  9, 11, 11, 11, 11, 12, 11,  8,
  12, 12, 13, 12, 12, 11,  6, 12, 14, 14, 13, 12, 11,  7, 12, 16, 14, 13, 13,
  12,  8, 12, 18, 17, 15, 15, 13,  9, 13, 19, 20, 18, 16, 14, 10, 14, 20, 23,
  20, 18, 16, 11, 20, 20, 19, 17, 15, 13,  9, 20, 22, 20, 19, 16, 13,  9, 20,
  23, 22, 20, 17, 13, 10, 19, 24, 24, 21, 17, 14, 11, 19, 24, 26, 24, 20, 16,
  12, 20, 24, 30, 27, 22, 17, 13, 21, 25, 30, 29, 24, 19, 14, 26, 30, 27, 21,
  17, 14, 12, 26, 30, 29, 23, 18, 15, 12, 26, 30, 32, 25, 19, 16, 12, 26, 29,
  33, 26, 21, 17, 13, 25, 29, 33, 30, 24, 19, 15, 25, 31, 34, 34, 27, 21, 16,
  27, 32, 35, 35, 29, 23, 17, 20, 21, 23, 25, 26, 24, 23, 20, 21, 23, 24, 25,
  23, 20, 19, 21, 21, 23, 24, 20, 16, 18, 19, 19, 19, 20, 15, 11, 15, 15, 15,
  14, 14, 15, 10, 11, 11,  8, 10, 12, 14, 10,  5,  3,  5,  8, 11, 14, 10, 19,
  20, 22, 24, 24, 23, 22, 18, 20, 21, 23, 24, 22, 20, 17, 19, 20, 20, 21, 18,
  16, 17, 17, 18, 18, 16, 13,  8, 14, 14, 14, 12,  9,  9,  8,  9,  9,  7,  6,
   8,  8,  8,  2,  2,  4,  5,  7,  8,  8, 17, 19, 20, 21, 23, 24, 22, 17, 18,
  20, 21, 22, 21, 19, 17, 18, 19, 19, 19, 18, 15, 16, 16, 16, 16, 15, 12,  9,
  11, 12, 12, 11,  7,  8,  8,  4,  7,  6,  4,  6,  8,  8,  0,  2,  2,  4,  6,
   6,  8, 17, 18, 20, 21, 22, 23, 23, 16, 18, 20, 20, 21, 21, 21, 14, 19, 19,
  19, 18, 18, 17, 10, 17, 16, 16, 15, 11, 11,  8, 12, 12, 10,  6,  7,  8,  5,
   5,  5,  3,  4,  6,  7,  0,  3,  3,  3,  4,  5,  6, 15, 17, 19, 20, 21, 23,
  23, 12, 17, 18, 20, 20, 20, 21, 12, 16, 16, 17, 17, 16, 15, 12, 13, 13, 13,
  12, 10,  7,  9,  9,  8,  8,  7,  6,  6,  6,  7,  7,  6,  7,  7,  6,  4,  6,
   8,  7,  7,  8,  6, 13, 14, 15, 16, 18, 21, 23, 13, 14, 15, 16, 17, 19, 19,
  13, 14, 15, 15, 14, 15, 14, 13, 13, 13, 13, 12,  9,  6, 10, 12, 13, 12,  9,
   8,  6,  9, 10, 13, 13, 10,  8,  6,  7, 10, 14, 14, 11,  8,  7, 16, 19, 18,
  16, 17, 20, 21, 16, 19, 20, 17, 15, 17, 18, 16, 18, 21, 16, 14, 13, 13, 16,
  17, 20, 15, 12, 10,  7, 14, 16, 18, 15, 11,  9,  7, 12, 15, 17, 16, 12, 10,
   8, 11, 15, 18, 17, 13, 10,  8, 18, 19, 21, 22, 22, 21, 21, 18, 19, 20, 22,
  22, 19, 18, 17, 18, 19, 20, 19, 17, 14, 17, 17, 17, 17, 15, 12,  8, 14, 13,
  13, 11,  9,  8,  8, 10, 10,  7,  7,  8,  9,  8,  4,  2,  4,  6,  8,  8,  8,
  17, 19, 20, 21, 22, 21, 20, 16, 18, 19, 20, 21, 19, 17, 16, 17, 19, 19, 18,
  16, 13, 16, 16, 16, 16, 14, 11,  7, 14, 12, 12, 11,  7,  7,  7,  9,  8,  6,
   5,  6,  7,  7,  2,  2,  3,  4,  6,  6,  7, 16, 17, 18, 20, 21, 21, 21, 16,
  17, 18, 19, 20, 19, 18, 15, 17, 17, 17, 16, 16, 13, 15, 15, 14, 14, 13, 10,
   6, 10, 11, 11,  9,  5,  6,  6,  4,  6,  5,  3,  4,  5,  6,  2,  0,  2,  3,
   4,  5,  6, 16, 17, 18, 19, 21, 22, 22, 15, 17, 19, 19, 20, 19, 19, 13, 17,
  18, 18, 17, 16, 15,  9, 16, 15, 15, 14, 10, 11,  7, 12, 11, 10,  5,  5,  7,
   4,  6,  5,  5,  5,  5,  6,  2,  7,  6,  6,  6,  6,  7, 15, 17, 18, 20, 20,
  22, 22, 12, 16, 18, 18, 19, 19, 19, 12, 15, 16, 16, 16, 15, 13, 12, 13, 13,
  13, 12, 10,  6, 10, 10, 11, 11, 13, 11,  7,  7, 11, 14, 14, 15, 13,  8,  8,
  13, 16, 16, 16, 15, 10, 14, 16, 17, 17, 19, 21, 21, 14, 18, 18, 19, 17, 18,
  18, 14, 19, 20, 19, 16, 14, 13, 14, 19, 21, 21, 17, 12,  8, 12, 18, 22, 21,
  18, 16, 10, 12, 19, 22, 20, 19, 17, 12, 14, 19, 22, 21, 20, 17, 13, 22, 27,
  27, 22, 18, 20, 20, 22, 28, 29, 24, 18, 17, 17, 22, 27, 30, 24, 19, 14, 12,
  22, 26, 30, 24, 20, 16, 12, 20, 25, 29, 24, 19, 17, 14, 20, 25, 26, 25, 20,
  18, 15, 21, 23, 25, 25, 22, 19, 17, 16, 19, 19, 21, 20, 20, 19, 15, 18, 19,
  20, 20, 18, 16, 14, 16, 18, 19, 18, 15, 13, 13, 15, 16, 15, 15, 11,  7, 10,
  11, 12, 11,  9,  7,  6,  6,  8,  8,  6,  7,  7,  6,  1,  3,  5,  6,  7,  7,
   6, 14, 17, 19, 19, 20, 19, 18, 13, 16, 18, 19, 19, 17, 15, 12, 14, 18, 17,
  16, 15, 12, 12, 12, 14, 15, 13, 10,  6,  9,  9, 11, 10,  7,  6,  6,  5,  5,
   7,  6,  6,  6,  6,  2,  1,  4,  5,  5,  6,  6, 12, 15, 16, 18, 19, 18, 17,
  12, 13, 16, 17, 17, 16, 14, 12, 12, 14, 14, 14, 13, 10, 11, 11, 10, 11, 10,
   8,  4,  7,  7,  7,  7,  4,  4,  3,  2,  2,  3,  2,  3,  3,  3,  2,  2,  0,
   2,  3,  4,  4, 12, 13, 14, 16, 17, 18, 17, 11, 13, 14, 15, 16, 16, 14,  9,
  13, 13, 14, 13, 13, 11,  6, 12, 11, 11, 10,  8,  8,  4,  8,  7,  7,  5,  5,
   6,  2,  6,  6,  6,  6,  6,  6,  2,  8,  8,  7,  7,  7,  8, 12, 12, 14, 15,
  16, 17, 17, 10, 12, 13, 14, 15, 15, 15, 10, 12, 12, 12, 12, 12, 10, 10, 12,
  11, 12, 12, 10,  7,  8, 13, 13, 13, 14, 12,  8,  8, 14, 16, 16, 16, 14,  9,
  10, 15, 18, 17, 18, 16, 11, 16, 19, 18, 19, 16, 17, 17, 15, 20, 20, 20, 16,
  14, 14, 15, 22, 22, 20, 17, 12, 10, 16, 21, 22, 23, 18, 13, 10, 15, 21, 25,
  24, 20, 16, 11, 15, 21, 27, 27, 22, 17, 12, 17, 22, 29, 30, 24, 19, 14, 24,
  31, 30, 24, 19, 16, 16, 25, 31, 33, 26, 19, 15, 13, 24, 30, 35, 27, 21, 16,
  11, 24, 30, 35, 27, 22, 17, 13, 24, 29, 35, 31, 24, 19, 14, 24, 29, 34, 34,
  27, 21, 16, 24, 30, 34, 35, 29, 23, 18, 14, 18, 21, 23, 23, 22, 19, 13, 17,
  20, 22, 23, 20, 17, 11, 15, 19, 20, 20, 18, 15, 10, 13, 16, 18, 18, 14,  9,
   7, 10, 12, 14, 14, 11,  9,  4,  6,  8, 10, 12, 11,  9,  2,  3,  6,  9, 11,
  11,  9, 12, 15, 19, 21, 21, 19, 16, 11, 14, 18, 21, 20, 17, 13,  9, 12, 16,
  18, 18, 15, 11,  9, 10, 13, 16, 14, 12,  7,  6,  7,  9, 11, 10,  9,  6,  2,
   3,  6,  8,  8,  8,  6,  4,  2,  4,  7,  7,  7,  6,  9, 13, 14, 16, 17, 16,
  14,  9, 11, 13, 15, 15, 13, 11,  9, 10, 12, 12, 12, 11,  8,  9,  8,  8,  9,
   9,  7,  3,  5,  4,  5,  5,  4,  3,  2,  1,  0,  1,  1,  2,  3,  2,  4,  3,
   2,  0,  2,  2,  3,  9, 10, 11, 12, 13, 14, 14,  9, 10, 11, 12, 13, 12, 12,
   7, 10, 10, 10, 10, 10,  9,  4,  9,  7,  7,  7,  6,  6,  2,  5,  4,  5,  5,
   5,  5,  1,  7,  6,  6,  6,  6,  6,  4,  9,  9,  8,  7,  7,  8,  9, 10, 10,
  12, 13, 14, 14,  9, 10, 11, 12, 12, 12, 12,  9, 12, 12, 12, 12, 10,  8,  9,
  13, 12, 12, 13, 11,  7,  8, 14, 13, 13, 13, 12,  8, 10, 15, 17, 16, 15, 13,
   9, 11, 16, 19, 17, 17, 15, 10, 17, 19, 18, 18, 16, 14, 14, 17, 21, 21, 20,
  17, 12, 11, 17, 23, 22, 21, 18, 13,  9, 17, 22, 24, 22, 19, 14,  9, 17, 21,
  26, 24, 20, 16, 10, 16, 22, 28, 27, 22, 16, 12, 16, 23, 28, 29, 24, 18, 13,
  26, 32, 31, 24, 19, 15, 13, 26, 31, 33, 26, 20, 15, 11, 25, 31, 34, 27, 21,
  16, 11, 26, 31, 36, 29, 22, 17, 12, 24, 30, 35, 32, 23, 18, 14, 25, 30, 35,
  33, 26, 21, 15, 25, 30, 35, 35, 29, 23, 17, 12, 16, 20, 23, 23, 20, 18, 12,
  15, 19, 22, 23, 19, 16, 10, 14, 17, 20, 21, 17, 14,  9, 11, 14, 17, 19, 15,
  10,  5,  8, 10, 13, 15, 13, 10,  2,  5,  7, 10, 13, 13, 10,  3,  3,  6,  9,
  12, 12, 10, 10, 14, 17, 21, 20, 17, 14,  9, 12, 16, 19, 20, 16, 12,  7, 11,
  15, 17, 17, 14, 10,  6,  8, 11, 13, 13, 12,  6,  4,  5,  8, 10,  9,  9,  6,
   1,  3,  5,  7,  8,  8,  6,  5,  3,  4,  6,  6,  7,  6,  7, 11, 13, 14, 15,
  13, 11,  6,  9, 12, 13, 13, 12,  9,  6,  8, 10, 10, 10, 10,  6,  6,  6,  7,
   7,  7,  7,  2,  2,  2,  3,  3,  3,  3,  2,  3,  3,  2,  1,  1,  2,  2,  5,
   4,  3,  2,  0,  1,  2,  6,  7,  8,  9, 11, 12, 11,  6,  7,  8,  9, 10, 10,
   9,  5,  7,  7,  7,  7,  7,  6,  3,  6,  5,  5,  5,  4,  5,  2,  6,  5,  5,
   5,  5,  5,  3,  8,  7,  7,  7,  6,  6,  5, 11,  9,  8,  8,  8,  8,  9, 10,
  10, 11, 11, 12, 11, 10, 11, 11, 12, 12, 11,  9, 10, 12, 13, 12, 12, 11,  7,
  10, 14, 13, 12, 13, 11,  7, 10, 16, 14, 14, 14, 12,  8, 11, 16, 17, 16, 15,
  13,  9, 12, 16, 20, 18, 17, 15, 11, 18, 20, 20, 19, 16, 13, 11, 18, 22, 21,
  21, 18, 13,  9, 19, 24, 24, 22, 18, 13,  9, 19, 23, 25, 23, 19, 14, 10, 17,
  23, 26, 25, 20, 15, 11, 18, 23, 28, 27, 22, 17, 13, 18, 24, 29, 29, 24, 19,
  14, 27, 32, 31, 25, 19, 15, 11, 27, 32, 33, 26, 21, 16, 11, 27, 33, 35, 27,
  22, 17, 12, 26, 32, 36, 29, 22, 18, 12, 26, 31, 36, 32, 24, 19, 14, 25, 30,
  36, 34, 26, 20, 16, 25, 30, 35, 36, 29, 23, 17, 11, 15, 19, 22, 22, 20, 17,
  10, 14, 17, 21, 22, 18, 15,  9, 12, 16, 19, 20, 17, 12,  7, 10, 13, 16, 18,
  15, 10,  4,  7,  9, 12, 15, 13, 10,  2,  5,  7, 10, 14, 13, 10,  4,  4,  6,
   9, 12, 13, 10,  9, 12, 16, 20, 19, 16, 12,  7, 11, 15, 18, 18, 15, 11,  6,
   9, 13, 16, 16, 13,  9,  5,  7, 10, 13, 12, 11,  6,  1,  4,  7,  9,  9,  9,
   6,  3,  3,  5,  8,  8,  8,  6,  5,  4,  5,  7,  7,  7,  6,  6, 10, 12, 12,
  14, 12,  9,  4,  8, 10, 12, 12, 11,  7,  4,  7,  9,  9,  9,  9,  5,  4,  5,
   6,  5,  6,  6,  2,  1,  1,  3,  2,  2,  2,  2,  4,  3,  3,  2,  1,  1,  2,
   7,  5,  4,  2,  1,  0,  1,  4,  5,  6,  7,  9, 10,  9,  4,  5,  6,  7,  8,
   8,  7,  4,  5,  6,  5,  5,  5,  5,  4,  5,  4,  4,  4,  4,  3,  2,  6,  5,
   5,  5,  5,  5,  4,  8,  7,  7,  7,  6,  6,  7, 12,  9,  9,  8,  8,  8, 10,
  10, 10, 11, 11, 11,  9, 11, 12, 11, 12, 12, 10,  7, 11, 13, 13, 12, 12, 10,
   7, 11, 15, 13, 13, 13, 11,  7, 11, 16, 15, 14, 14, 12,  8, 12, 17, 17, 16,
  16, 13,  9, 13, 17, 21, 18, 17, 16, 11, 20, 20, 19, 19, 16, 13,  9, 19, 22,
  21, 20, 18, 13,  9, 19, 24, 23, 22, 17, 13,  9, 19, 23, 25, 22, 18, 14,  9,
  18, 23, 26, 24, 20, 16, 11, 18, 23, 28, 27, 21, 17, 13, 19, 23, 29, 29, 24,
  19, 14, 27, 31, 29, 24, 20, 16, 11, 26, 30, 31, 25, 20, 16, 12, 27, 32, 33,
  27, 21, 16, 11, 27, 31, 34, 28, 22, 17, 12, 26, 29, 34, 30, 23, 19, 14, 25,
  30, 34, 32, 25, 21, 16, 25, 30, 35, 34, 28, 22, 17, 10, 14, 17, 19, 19, 17,
  14,  9, 13, 15, 18, 19, 16, 13,  8, 11, 14, 16, 18, 15, 11,  7,  9, 12, 15,
  17, 13, 10,  3,  6,  9, 12, 15, 13, 10,  3,  5,  8, 10, 14, 13, 10,  5,  4,
   7, 10, 12, 13, 10,  8, 11, 15, 17, 16, 14, 11,  7, 10, 14, 16, 15, 13, 10,
   5,  9, 12, 15, 13, 12,  8,  4,  6,  9, 12, 11, 10,  6,  1,  4,  7,  9,  9,
   9,  6,  3,  4,  5,  8,  8,  8,  6,  7,  5,  5,  7,  7,  7,  6,  5,  9, 11,
  11, 12, 11,  8,  3,  7, 10, 10, 11,  9,  5,  2,  6,  8,  8,  8,  8,  3,  2,
   4,  5,  5,  5,  5,  2,  2,  2,  3,  2,  2,  2,  1,  5,  4,  3,  2,  2,  1,
   1,  8,  6,  4,  3,  2,  1,  0,  2,  4,  4,  6,  7,  9,  8,  2,  3,  4,  6,
   6,  6,  6,  1,  4,  4,  4,  4,  4,  4,  4,  5,  4,  4,  4,  4,  3,  3,  8,
   6,  5,  5,  5,  5,  5, 10,  8,  7,  7,  6,  6,  8, 13, 10,  9,  8,  8,  7,
  10, 10, 10, 10, 11, 10,  8, 11, 12, 11, 11, 11, 10,  6, 12, 13, 12, 12, 11,
  10,  6, 12, 15, 13, 12, 12, 11,  6, 12, 17, 15, 14, 13, 12,  8, 13, 17, 18,
  16, 15, 13,  9, 13, 18, 20, 17, 16, 14, 10, 19, 19, 18, 17, 15, 12,  8, 19,
  20, 19, 18, 16, 12,  8, 19, 23, 21, 19, 15, 12,  8, 19, 23, 22, 19, 16, 13,
   9, 18, 22, 24, 22, 18, 14, 10, 19, 23, 27, 25, 20, 15, 12, 18, 23, 28, 27,
  22, 17, 13, 25, 28, 25, 20, 17, 14, 11, 24, 28, 27, 22, 17, 14, 11, 24, 28,
  29, 22, 17, 14, 11, 25, 27, 30, 24, 19, 16, 12, 23, 27, 31, 28, 22, 17, 13,
  24, 28, 32, 31, 24, 19, 14, 25, 28, 32, 32, 26, 20, 15,  3,  7, 11, 15, 16,
  13, 11,  2,  5, 10, 14, 15, 13,  8,  2,  4,  8, 11, 13, 10,  5,  2,  2,  5,
   8, 10,  9,  5,  2,  2,  2,  5,  8, 10,  5,  5,  6,  6,  5,  8,  9,  5, 12,
  10,  8,  5,  6,  9,  5,  2,  4,  8, 11, 13, 10,  5,  2,  3,  7, 10, 13,  8,
   3,  2,  2,  5,  7,  9,  5,  2,  1,  2,  2,  4,  5,  3,  2,  2,  3,  3,  3,
   3,  3,  2,  7,  7,  8,  6,  3,  2,  2, 15, 13, 10,  7,  5,  3,  2,  2,  2,
   3,  5,  6,  4,  2,  1,  2,  2,  3,  4,  3,  1,  0,  2,  2,  2,  2,  2,  1,
   1,  2,  1,  1,  1,  1,  2,  4,  4,  4,  4,  4,  3,  2, 10, 10,  9,  8,  6,
   4,  2, 17, 16, 12,  9,  6,  4,  2,  0,  1,  1,  1,  2,  2,  5,  1,  2,  2,
   2,  2,  2,  5,  2,  2,  3,  3,  3,  3,  5,  4,  4,  5,  5,  5,  6,  7,  6,
   9,  9,  9,  9,  8,  7, 10, 15, 14, 13, 11, 10,  9, 17, 20, 17, 15, 13, 12,
  11,  8,  8,  8,  9,  9,  8,  5, 10, 10, 10, 10, 10,  9,  5, 10, 11, 11, 12,
  12, 10,  6, 10, 14, 14, 14, 14, 13,  9, 13, 18, 18, 18, 18, 17, 11, 15, 21,
  23, 21, 20, 18, 13, 20, 24, 25, 23, 21, 20, 15, 17, 18, 18, 18, 16, 11,  7,
  17, 20, 20, 19, 17, 12,  7, 17, 22, 21, 20, 19, 14,  9, 17, 23, 22, 22, 20,
  17, 14, 18, 24, 26, 25, 23, 20, 15, 21, 26, 29, 28, 24, 20, 17, 24, 28, 29,
  30, 25, 23, 18, 24, 29, 27, 22, 19, 15,  9, 24, 28, 29, 23, 20, 16, 11, 24,
  29, 30, 25, 21, 17, 13, 24, 29, 30, 26, 22, 20, 17, 25, 28, 32, 29, 25, 23,
  19, 26, 30, 33, 32, 26, 24, 20, 28, 32, 34, 33, 28, 25, 22,  6,  7,  8,  8,
   9,  7,  7,  5,  7,  8,  9,  9,  7,  6,  4,  6,  7,  8,  8,  7,  6,  3,  6,
   7,  7,  8,  7,  7,  3,  6,  7,  8,  9,  8,  7,  7,  9, 10,  9,  9,  8,  7,
  13, 13, 11, 10,  9,  8,  7,  4,  6,  7,  7,  7,  6,  5,  3,  6,  7,  7,  7,
   6,  5,  2,  5,  7,  7,  6,  6,  6,  1,  4,  7,  7,  6,  6,  7,  4,  5,  7,
   8,  7,  7,  6,  9,  9, 11, 10,  8,  7,  7, 16, 14, 12, 11,  8,  7,  7,  2,
   5,  6,  6,  6,  5,  2,  1,  4,  5,  5,  5,  5,  2,  1,  3,  4,  4,  5,  5,
   2,  1,  3,  4,  4,  5,  5,  4,  6,  6,  6,  6,  6,  5,  4, 11, 11, 11,  9,
   7,  5,  4, 18, 17, 13, 10,  7,  5,  4,  1,  0,  1,  1,  1,  2,  4,  1,  2,
   2,  2,  2,  2,  4,  2,  3,  2,  2,  3,  3,  4,  5,  5,  5,  6,  6,  6,  6,
   6, 10,  9,  9, 10,  9,  8, 12, 15, 14, 13, 11, 11,  9, 19, 21, 18, 15, 13,
  12, 11,  9,  8,  8,  8,  9,  7,  4, 10, 10,  9,  9, 10,  8,  4, 10, 11, 11,
  11, 11, 10,  6, 10, 15, 14, 14, 14, 13, 10, 13, 19, 18, 18, 19, 17, 11, 17,
  22, 24, 23, 21, 19, 13, 20, 26, 28, 25, 24, 21, 15, 17, 18, 17, 17, 14, 10,
   6, 17, 21, 19, 19, 16, 11,  7, 17, 21, 22, 21, 17, 13,  9, 17, 24, 25, 25,
  21, 17, 13, 20, 25, 31, 30, 25, 20, 15, 22, 28, 35, 33, 28, 22, 16, 25, 31,
  35, 36, 30, 24, 18, 25, 31, 29, 22, 17, 13,  9, 25, 30, 32, 25, 19, 15, 10,
  25, 31, 34, 27, 21, 17, 13, 24, 31, 37, 30, 26, 21, 17, 27, 33, 38, 36, 31,
  25, 18, 28, 36, 40, 40, 33, 27, 20, 32, 38, 41, 41, 35, 29, 23,  6,  9, 12,
  13, 13, 11,  9,  5,  8, 11, 13, 13, 11, 10,  4,  7, 10, 12, 13, 12, 10,  3,
   7, 10, 12, 14, 12, 11,  5,  7,  9, 12, 14, 13, 11,  8,  9, 11, 12, 14, 13,
  11, 14, 14, 12, 12, 13, 13, 11,  5,  7, 10, 12, 11,  9,  6,  4,  6,  9, 11,
  11,  9,  6,  2,  5,  8, 10, 10,  9,  7,  1,  5,  8, 11, 10, 10,  8,  4,  6,
   8, 10, 10, 11,  8, 10, 11, 11, 12, 10, 10,  8, 17, 16, 13, 12, 10,  9,  8,
   2,  5,  6,  7,  7,  5,  2,  1,  4,  5,  6,  6,  5,  2,  1,  3,  5,  5,  5,
   5,  3,  1,  3,  5,  5,  5,  6,  4,  6,  7,  7,  7,  7,  6,  4, 13, 12, 12,
  10,  8,  6,  4, 20, 18, 14, 11,  8,  6,  4,  1,  1,  0,  1,  1,  1,  3,  1,
   2,  1,  1,  1,  1,  3,  4,  3,  3,  3,  3,  3,  4,  7,  6,  6,  6,  6,  7,
   6,  8, 11, 10, 10, 10, 10,  8, 13, 16, 15, 14, 12, 11, 10, 19, 22, 19, 16,
  14, 13, 12,  9,  8,  8,  8,  8,  7,  3, 11, 10,  9,  9,  9,  8,  3, 10, 12,
  12, 12, 11, 10,  7, 10, 16, 15, 14, 15, 14, 10, 14, 21, 20, 20, 19, 17, 12,
  18, 24, 25, 23, 21, 18, 14, 22, 27, 28, 26, 24, 21, 15, 17, 19, 17, 17, 13,
   9,  5, 17, 21, 19, 18, 15, 11,  6, 17, 22, 22, 21, 17, 13, 10, 18, 24, 26,
  25, 21, 17, 13, 20, 27, 30, 30, 26, 20, 15, 23, 29, 36, 35, 29, 23, 17, 27,
  32, 37, 37, 31, 25, 19, 25, 30, 29, 22, 16, 12,  8, 25, 31, 31, 24, 18, 14,
  10, 25, 30, 35, 27, 22, 17, 13, 26, 31, 37, 31, 26, 21, 17, 27, 34, 39, 37,
  30, 25, 19, 30, 37, 43, 41, 33, 27, 20, 33, 38, 43, 43, 36, 29, 23,  7,  9,
  12, 15, 15, 13, 10,  6,  8, 11, 14, 15, 13, 10,  5,  7, 10, 13, 15, 14, 11,
   4,  7, 11, 14, 16, 14, 12,  5,  8, 11, 13, 17, 15, 12,  9, 11, 12, 13, 16,
  14, 12, 16, 15, 14, 13, 15, 15, 12,  5,  8, 10, 13, 12,  9,  6,  4,  7,  9,
  12, 12,  9,  6,  3,  5,  9, 11, 11, 10,  8,  1,  5,  9, 11, 11, 11,  9,  5,
   7,  9, 11, 11, 11,  9, 11, 12, 13, 13, 11, 10,  8, 19, 17, 14, 13, 10, 10,
   8,  3,  6,  6,  6,  7,  5,  2,  1,  4,  6,  6,  6,  5,  2,  1,  3,  5,  5,
   5,  6,  3,  2,  4,  5,  5,  6,  6,  5,  7,  8,  8,  8,  8,  7,  5, 14, 13,
  13, 11,  9,  7,  5, 21, 19, 15, 12,  9,  7,  6,  1,  1,  1,  0,  1,  1,  3,
   2,  2,  2,  1,  2,  1,  3,  5,  3,  3,  4,  4,  4,  5,  8,  6,  7,  7,  7,
   7,  7,  9, 12, 11, 11, 12, 10,  9, 14, 18, 16, 15, 14, 12, 11, 21, 24, 20,
  17, 15, 13, 12, 10,  9,  8,  8,  8,  7,  3, 11, 10,  9,  9,  9,  8,  3, 11,
  12, 12, 13, 12, 11,  7, 11, 16, 16, 16, 16, 15, 11, 15, 22, 21, 20, 21, 18,
  13, 19, 25, 26, 25, 22, 20, 14, 23, 28, 30, 27, 25, 21, 16, 18, 19, 17, 17,
  14,  9,  5, 18, 21, 19, 19, 15, 11,  7, 18, 23, 22, 22, 18, 14, 11, 18, 25,
  27, 25, 23, 19, 15, 21, 28, 32, 32, 26, 21, 16, 24, 32, 37, 36, 29, 23, 18,
  28, 34, 38, 38, 32, 26, 20, 26, 31, 29, 22, 17, 12,  8, 25, 31, 31, 24, 19,
  15, 11, 25, 30, 33, 28, 24, 18, 14, 26, 31, 37, 32, 27, 22, 18, 29, 35, 40,
  38, 31, 26, 20, 31, 38, 42, 42, 34, 28, 22, 34, 39, 44, 44, 37, 30, 24,  7,
  10, 12, 15, 15, 12, 10,  6,  9, 11, 14, 15, 13, 11,  5,  7, 11, 15, 16, 15,
  12,  4,  8, 11, 14, 17, 16, 13,  6,  9, 11, 14, 18, 16, 13, 11, 12, 14, 14,
  17, 16, 13, 17, 17, 15, 14, 16, 15, 13,  5,  8, 10, 13, 11,  9,  6,  4,  7,
  10, 12, 12,  9,  7,  3,  6,  9, 12, 12, 10,  8,  2,  6, 10, 12, 12, 11,  9,
   5,  8, 10, 12, 12, 12,  9, 12, 13, 14, 15, 12, 11,  9, 20, 19, 16, 14, 12,
  10,  9,  3,  6,  7,  6,  7,  5,  1,  1,  5,  6,  6,  6,  5,  2,  2,  4,  5,
   6,  6,  6,  4,  2,  4,  6,  6,  6,  6,  6,  7,  9,  9,  9, 10,  8,  6, 15,
  15, 14, 12, 10,  9,  6, 22, 21, 17, 14, 11,  9,  7,  2,  1,  1,  1,  0,  1,
   3,  3,  2,  2,  2,  2,  2,  3,  7,  3,  3,  4,  5,  5,  5,  9,  6,  8,  9,
   9,  8,  7, 10, 12, 12, 12, 13, 12, 10, 16, 19, 17, 16, 15, 14, 12, 22, 25,
  21, 18, 16, 15, 14, 10,  9,  8,  8,  8,  7,  2, 13, 11, 10,  9, 10,  9,  3,
  13, 12, 12, 13, 13, 12,  9, 13, 17, 17, 18, 17, 16, 12, 16, 23, 22, 22, 22,
  19, 14, 21, 27, 28, 26, 24, 21, 16, 24, 29, 31, 28, 27, 23, 17, 18, 19, 18,
  17, 13,  9,  5, 19, 21, 19, 18, 15, 12,  8, 18, 23, 22, 23, 19, 16, 12, 19,
  24, 28, 27, 23, 19, 16, 22, 29, 32, 31, 28, 23, 17, 27, 32, 39, 36, 29, 24,
  19, 30, 36, 38, 39, 33, 27, 21, 25, 29, 26, 21, 16, 12,  8, 25, 30, 29, 23,
  19, 16, 12, 26, 30, 31, 26, 23, 19, 15, 25, 32, 35, 31, 27, 24, 20, 29, 35,
  39, 38, 32, 26, 21, 32, 38, 43, 42, 35, 29, 23, 35, 40, 43, 45, 37, 31, 25,
   6,  8, 10, 12, 12,  9,  8,  6,  8,  9, 11, 12, 11,  9,  5,  7,  9, 12, 14,
  12, 11,  4,  7, 10, 13, 16, 14, 13,  6,  9, 12, 14, 18, 15, 13, 11, 13, 15,
  16, 17, 15, 13, 18, 18, 16, 15, 16, 15, 13,  5,  7,  8, 10,  8,  6,  5,  4,
   6,  8,  9,  9,  7,  6,  3,  6,  8, 10, 10,  9,  8,  2,  6,  9, 11, 11, 11,
  10,  6,  9, 11, 13, 13, 12,  9, 13, 14, 16, 15, 13, 12, 10, 22, 19, 17, 16,
  13, 11, 10,  3,  6,  5,  5,  5,  3,  2,  2,  5,  5,  4,  4,  4,  3,  2,  4,
   5,  5,  6,  6,  5,  3,  4,  6,  7,  7,  7,  8,  8,  9, 10, 11, 11, 10,  8,
  16, 17, 15, 14, 12, 10,  8, 23, 22, 18, 14, 12, 10,  8,  2,  2,  1,  1,  1,
   0,  2,  4,  2,  2,  2,  2,  3,  4,  8,  4,  3,  5,  6,  6,  6, 11,  6,  8,
   9,  9, 10,  8, 11, 13, 13, 14, 14, 12, 11, 16, 20, 18, 17, 16, 14, 13, 23,
  26, 22, 19, 17, 16, 15, 11,  9,  8,  8,  8,  7,  2, 14, 11, 10,  9, 10,  9,
   4, 14, 13, 12, 13, 14, 12,  9, 14, 17, 17, 17, 17, 17, 13, 16, 23, 23, 23,
  22, 19, 15, 21, 27, 28, 26, 23, 21, 17, 26, 31, 31, 28, 26, 22, 18, 18, 17,
  15, 13, 12,  9,  6, 18, 19, 16, 14, 12, 12,  9, 18, 21, 18, 19, 17, 15, 13,
  18, 23, 25, 24, 22, 19, 17, 22, 29, 31, 29, 26, 23, 18, 26, 33, 37, 34, 28,
  23, 20, 30, 36, 38, 37, 30, 25, 21, 22, 25, 22, 17, 13, 10,  9, 22, 25, 24,
  18, 15, 14, 12, 22, 25, 27, 22, 20, 18, 15, 22, 27, 33, 29, 25, 22, 20, 27,
  31, 37, 34, 30, 25, 21, 31, 36, 40, 40, 32, 27, 22, 35, 39, 42, 41, 35, 29,
  24,  9, 11, 13, 16, 16, 13, 10,  9, 11, 12, 15, 16, 14, 12,  8,  9, 12, 16,
  17, 15, 13,  8, 10, 13, 16, 19, 16, 14,  8, 11, 13, 17, 20, 18, 14, 11, 13,
  15, 16, 19, 18, 15, 18, 17, 16, 16, 18, 17, 14,  8, 10, 12, 13, 11,  8,  7,
   8,  9, 11, 13, 12, 10,  8,  7,  8, 11, 14, 13, 11,  9,  6,  8, 11, 14, 13,
  12, 11,  6, 10, 12, 14, 14, 13, 11, 13, 14, 16, 15, 14, 13, 11, 22, 19, 17,
  15, 13, 12, 11,  7,  8,  8,  7,  7,  5,  3,  6,  8,  8,  7,  7,  6,  4,  5,
   7,  7,  8,  8,  8,  6,  3,  7,  8,  8,  9,  9,  8,  7,  9, 10, 10, 10,  9,
   8, 16, 16, 15, 13, 11,  9,  8, 23, 22, 18, 14, 11,  9,  8,  5,  4,  3,  3,
   3,  3,  0,  2,  2,  3,  2,  2,  2,  2,  6,  2,  2,  3,  3,  3,  4, 10,  3,
   5,  6,  6,  6,  6,  9, 10, 10, 10, 10,  9,  7, 15, 18, 16, 14, 12, 10,  8,
  24, 25, 19, 15, 13, 11,  9,  4,  3,  2,  2,  2,  2,  0,  6,  3,  3,  2,  3,
   3,  2,  6,  4,  4,  5,  6,  6,  5,  6,  8,  9, 10, 10,  9,  8,  9, 14, 15,
  15, 15, 13,  9, 16, 20, 22, 20, 17, 14, 10, 22, 25, 25, 21, 19, 15, 11,  8,
   7,  6,  5,  3,  2,  1,  7, 10,  7,  6,  4,  4,  3,  8, 11, 10, 11,  9,  8,
   7,  8, 14, 17, 17, 14, 12, 10, 12, 19, 23, 23, 20, 16, 11, 18, 24, 30, 28,
  22, 17, 13, 24, 28, 31, 30, 24, 19, 14, 13, 16, 14,  8,  5,  3,  2, 13, 16,
  16, 10,  7,  6,  5, 13, 16, 19, 15, 12, 10,  8, 13, 18, 25, 21, 18, 15, 13,
  17, 24, 30, 28, 23, 19, 14, 22, 28, 34, 34, 27, 21, 15, 27, 32, 35, 35, 29,
  23, 17,  6, 10, 15, 18, 18, 16, 15,  5,  9, 14, 17, 18, 15, 13,  3,  8, 11,
  15, 16, 14, 11,  2,  5,  9, 11, 13, 13, 10,  1,  2,  6, 10, 12, 14, 10,  5,
   5,  5,  8, 11, 14, 10, 11,  9,  5,  7, 10, 14, 10,  3,  7, 12, 15, 16, 14,
  10,  2,  6, 11, 14, 15, 13,  8,  2,  5,  9, 11, 12, 11,  5,  2,  2,  6,  8,
   9,  8,  3,  2,  2,  3,  6,  7,  8,  3,  7,  7,  6,  5,  6,  6,  4, 15, 12,
   8,  5,  4,  5,  4,  2,  5,  7,  9, 11,  9,  5,  2,  3,  6,  8,  8,  8,  2,
   1,  2,  4,  5,  5,  5,  1,  0,  2,  2,  1,  2,  1,  1,  4,  4,  4,  4,  4,
   2,  1, 10,  9,  9,  8,  5,  3,  1, 16, 15, 11,  9,  6,  4,  2,  1,  1,  1,
   2,  3,  4,  2,  0,  1,  1,  2,  2,  1,  3,  1,  1,  1,  1,  1,  1,  3,  3,
   3,  3,  3,  4,  4,  4,  5,  7,  7,  7,  8,  7,  6,  9, 13, 11, 11, 10,  9,
   8, 16, 18, 14, 13, 12, 10,  9,  7,  7,  7,  8,  8,  7,  3,  8,  8,  9,  9,
   9,  8,  3,  8, 10, 10, 10, 11,  9,  5,  8, 13, 12, 13, 13, 12,  8, 11, 16,
  15, 15, 15, 14, 10, 14, 18, 19, 17, 16, 16, 12, 17, 20, 21, 18, 18, 16, 13,
  16, 16, 16, 16, 14, 10,  5, 15, 18, 17, 16, 14, 11,  7, 15, 19, 18, 17, 16,
  13,  8, 15, 19, 19, 18, 16, 15, 11, 16, 20, 22, 21, 18, 16, 13, 18, 22, 25,
  23, 20, 17, 14, 20, 24, 25, 25, 21, 18, 15, 21, 25, 22, 19, 16, 14,  8, 21,
  25, 25, 20, 16, 14, 10, 20, 25, 27, 21, 17, 15, 11, 21, 24, 27, 22, 18, 17,
  15, 21, 25, 28, 26, 21, 18, 16, 21, 25, 29, 28, 23, 19, 17, 24, 26, 29, 29,
  24, 20, 17,  7,  8,  9, 11, 11,  9,  7,  6,  7,  8, 10, 10,  8,  7,  5,  7,
   8,  9,  9,  8,  7,  4,  6,  7,  8,  8,  8,  8,  4,  7,  8,  8,  9,  8,  8,
   7,  8,  9,  9,  9,  8,  8, 13, 13, 11,  9,  9,  8,  7,  5,  7,  8,  9,  9,
   7,  6,  4,  7,  8,  8,  8,  7,  6,  3,  6,  7,  7,  7,  7,  6,  2,  5,  7,
   8,  7,  7,  7,  3,  5,  7,  8,  7,  7,  7,  8,  9, 10, 10,  8,  7,  7, 16,
  15, 12, 10,  8,  7,  7,  3,  6,  6,  6,  7,  6,  3,  2,  5,  6,  6,  6,  6,
   3,  1,  4,  5,  5,  6,  6,  3,  1,  4,  5,  5,  6,  6,  5,  5,  6,  6,  6,
   6,  6,  5, 11, 11, 11,  9,  7,  5,  5, 18, 17, 13, 10,  7,  5,  3,  2,  2,
   2,  2,  2,  2,  2,  1,  0,  1,  1,  1,  1,  3,  1,  1,  1,  1,  1,  1,  3,
   4,  4,  4,  4,  4,  4,  5,  6,  8,  8,  8,  8,  7,  6, 11, 14, 13, 12, 10,
   9,  8, 18, 20, 16, 14, 12, 10,  9,  7,  7,  7,  7,  7,  6,  2,  9,  9,  8,
   8,  8,  7,  3,  9, 10, 10, 10, 10,  8,  4,  9, 13, 13, 12, 13, 12,  8, 12,
  18, 17, 17, 18, 15, 10, 15, 21, 23, 21, 20, 17, 11, 19, 24, 26, 23, 22, 18,
  13, 16, 17, 17, 16, 13,  9,  5, 15, 20, 18, 18, 14, 10,  6, 15, 21, 20, 20,
  16, 12,  8, 16, 22, 24, 23, 19, 15, 11, 18, 24, 29, 28, 24, 19, 13, 20, 27,
  32, 31, 27, 21, 15, 25, 30, 34, 32, 28, 23, 17, 23, 29, 28, 22, 16, 12,  7,
  23, 29, 30, 24, 18, 13,  9, 23, 30, 33, 26, 20, 15, 11, 24, 29, 34, 29, 24,
  20, 15, 24, 31, 35, 34, 28, 23, 17, 27, 33, 37, 36, 30, 25, 19, 30, 35, 39,
  38, 33, 27, 22,  7, 10, 12, 14, 14, 12, 10,  7,  9, 12, 13, 14, 12, 10,  5,
   8, 10, 13, 13, 12, 11,  4,  8, 10, 12, 14, 13, 12,  5,  8, 10, 13, 15, 13,
  12,  8, 10, 11, 13, 14, 13, 11, 14, 14, 13, 12, 13, 13, 12,  5,  8, 11, 12,
  11, 10,  7,  5,  7, 10, 12, 11, 10,  7,  3,  6,  9, 11, 11, 10,  8,  3,  6,
   9, 11, 11, 11,  9,  5,  6,  8, 11, 11, 11,  9, 10, 11, 12, 12, 10, 10,  9,
  17, 16, 13, 12, 10,  9,  9,  4,  6,  7,  7,  8,  6,  3,  2,  5,  6,  7,  7,
   6,  3,  1,  4,  5,  5,  6,  6,  3,  1,  4,  5,  6,  6,  6,  4,  6,  7,  7,
   7,  7,  6,  5, 12, 12, 11, 10,  8,  6,  4, 19, 19, 14, 11,  8,  6,  5,  2,
   2,  1,  1,  2,  2,  3,  1,  1,  0,  1,  1,  1,  3,  2,  2,  2,  2,  2,  2,
   4,  6,  5,  5,  5,  5,  5,  5,  7,  9,  9,  9,  9,  9,  7, 12, 15, 14, 13,
  11, 10,  9, 19, 21, 17, 15, 13, 11, 11,  8,  7,  7,  7,  7,  6,  3,  9,  9,
   8,  8,  8,  7,  3,  9, 10, 10, 10, 10,  9,  5,  9, 14, 14, 14, 14, 13,  9,
  13, 19, 19, 18, 18, 16, 11, 17, 22, 24, 23, 20, 18, 12, 21, 26, 28, 24, 23,
  20, 14, 16, 18, 17, 16, 13,  9,  4, 16, 20, 18, 18, 14,  9,  6, 17, 21, 21,
  20, 16, 12,  8, 17, 24, 25, 24, 21, 16, 12, 20, 25, 30, 29, 25, 19, 14, 22,
  28, 35, 32, 28, 21, 16, 25, 31, 35, 36, 28, 23, 18, 24, 30, 27, 21, 16, 12,
   7, 24, 30, 30, 23, 18, 13,  9, 24, 30, 33, 26, 21, 16, 12, 24, 31, 36, 30,
  24, 20, 16, 25, 32, 38, 34, 29, 23, 18, 28, 34, 39, 40, 33, 26, 20, 31, 37,
  41, 41, 35, 28, 21,  8, 10, 13, 16, 16, 13, 11,  7,  9, 12, 15, 16, 14, 11,
   6,  8, 11, 14, 16, 14, 12,  5,  9, 11, 14, 17, 15, 13,  6,  8, 11, 14, 17,
  16, 13, 10, 11, 12, 14, 17, 16, 13, 16, 15, 13, 13, 15, 15, 13,  6,  8, 11,
  14, 12, 10,  7,  5,  8, 10, 13, 12, 10,  7,  4,  7, 10, 12, 12, 10,  9,  3,
   7, 10, 12, 12, 12,  9,  5,  7,  9, 12, 12, 12,  9, 11, 11, 13, 13, 11, 12,
   9, 19, 17, 15, 13, 10, 10,  9,  4,  7,  7,  7,  8,  6,  2,  3,  5,  7,  7,
   7,  6,  2,  1,  5,  6,  6,  6,  6,  4,  1,  5,  6,  6,  7,  7,  5,  7,  8,
   8,  8,  8,  7,  5, 14, 14, 13, 11,  9,  7,  5, 21, 20, 15, 12,  9,  7,  5,
   2,  1,  1,  1,  2,  2,  2,  2,  1,  1,  0,  1,  1,  3,  3,  2,  2,  2,  3,
   3,  4,  6,  5,  6,  6,  6,  6,  6,  8, 11, 10, 10, 10,  9,  8, 14, 17, 15,
  14, 12, 11,  9, 21, 23, 18, 16, 14, 12, 11,  8,  8,  7,  7,  7,  6,  3, 10,
   9,  8,  8,  8,  7,  3, 10, 11, 11, 11, 11, 10,  6, 10, 15, 15, 15, 15, 14,
  10, 13, 20, 20, 19, 19, 16, 11, 18, 25, 25, 24, 21, 18, 13, 22, 27, 28, 26,
  23, 20, 15, 17, 18, 17, 16, 12,  8,  4, 17, 20, 18, 17, 14, 10,  6, 17, 22,
  22, 21, 17, 13,  9, 17, 24, 26, 25, 21, 17, 13, 20, 26, 30, 30, 25, 20, 15,
  23, 29, 36, 33, 28, 22, 17, 27, 32, 36, 37, 30, 24, 19, 24, 30, 28, 21, 16,
  11,  7, 24, 29, 29, 23, 18, 13, 10, 24, 30, 33, 27, 21, 17, 13, 24, 31, 37,
  30, 25, 21, 17, 28, 33, 39, 36, 31, 24, 19, 30, 36, 41, 41, 33, 27, 20, 33,
  38, 43, 43, 36, 28, 22,  8, 11, 14, 17, 17, 15, 12,  7, 10, 13, 17, 17, 14,
  12,  6,  9, 12, 15, 18, 15, 13,  5,  9, 12, 15, 19, 16, 14,  6,  9, 12, 15,
  19, 17, 14, 10, 12, 13, 14, 18, 17, 14, 16, 15, 14, 14, 16, 16, 14,  6,  9,
  11, 15, 14, 11,  8,  5,  8, 11, 13, 13, 10,  8,  4,  7, 10, 13, 13, 11,  9,
   3,  7, 11, 13, 13, 12, 10,  5,  8, 10, 12, 13, 12, 10, 12, 12, 14, 14, 12,
  12, 10, 19, 17, 15, 14, 11, 11, 10,  4,  7,  8,  8,  9,  7,  3,  3,  6,  7,
   7,  7,  6,  3,  1,  5,  6,  7,  7,  7,  4,  1,  5,  7,  7,  7,  7,  6,  7,
   8,  9,  8,  8,  7,  6, 14, 14, 14, 12,  9,  7,  6, 21, 20, 16, 12, 10,  8,
   6,  2,  2,  1,  2,  2,  2,  2,  2,  1,  1,  1,  0,  0,  2,  4,  2,  2,  3,
   3,  3,  3,  7,  5,  6,  6,  6,  6,  5,  8, 11, 10, 10, 11,  9,  8, 14, 17,
  15, 14, 12, 11, 10, 21, 23, 19, 16, 14, 12, 11,  8,  7,  7,  7,  7,  6,  2,
  10,  9,  8,  8,  8,  7,  2, 10, 11, 10, 11, 11, 10,  6, 10, 15, 15, 15, 15,
  14, 10, 14, 21, 20, 20, 19, 17, 12, 18, 24, 26, 24, 21, 18, 13, 23, 28, 29,
  26, 24, 21, 15, 17, 18, 17, 15, 12,  9,  4, 16, 19, 18, 17, 13, 10,  6, 17,
  22, 21, 21, 18, 13,  9, 16, 24, 26, 25, 22, 18, 13, 20, 27, 30, 30, 26, 21,
  15, 24, 30, 37, 35, 28, 23, 17, 28, 32, 37, 37, 30, 24, 19, 24, 28, 25, 20,
  15, 11,  7, 24, 28, 28, 22, 17, 13, 10, 24, 29, 31, 25, 21, 17, 13, 24, 30,
  35, 31, 25, 21, 17, 28, 33, 38, 35, 30, 24, 19, 30, 35, 41, 40, 32, 27, 21,
  34, 39, 41, 42, 35, 29, 23,  8, 11, 14, 17, 17, 15, 11,  7, 10, 13, 16, 16,
  14, 12,  6,  9, 12, 15, 17, 16, 13,  5,  9, 12, 16, 18, 16, 14,  6,  9, 12,
  15, 18, 17, 14, 10, 12, 13, 14, 18, 17, 14, 17, 16, 14, 14, 16, 17, 14,  6,
   9, 12, 14, 13, 11,  8,  5,  8, 11, 13, 13, 10,  8,  4,  7, 10, 14, 13, 11,
   9,  3,  7, 11, 13, 13, 12, 10,  5,  8, 10, 13, 13, 12, 10, 11, 12, 14, 13,
  12, 12, 10, 19, 17, 15, 14, 11, 11,  9,  4,  7,  8,  8,  9,  7,  3,  3,  6,
   7,  7,  7,  6,  3,  2,  5,  6,  7,  7,  7,  4,  1,  5,  7,  7,  7,  7,  6,
   6,  8,  9,  9,  8,  7,  6, 14, 14, 13, 11,  9,  8,  6, 21, 19, 15, 12, 10,
   8,  6,  2,  2,  1,  1,  2,  3,  2,  1,  1,  1,  1,  0,  0,  2,  5,  2,  2,
   3,  3,  3,  3,  7,  5,  6,  6,  6,  6,  5,  9, 11, 10, 11, 10, 10,  8, 14,
  17, 16, 14, 13, 11, 10, 21, 23, 19, 16, 14, 13, 12,  9,  8,  7,  6,  7,  6,
   2, 11, 10,  8,  8,  8,  7,  2, 11, 11, 10, 11, 11, 10,  6, 10, 15, 15, 15,
  15, 14, 10, 14, 21, 20, 20, 19, 16, 12, 18, 24, 25, 23, 21, 18, 13, 23, 27,
  29, 25, 22, 20, 15, 16, 16, 14, 13, 11,  8,  5, 16, 18, 15, 13, 12, 10,  6,
  16, 20, 17, 17, 15, 12, 10, 17, 21, 23, 21, 19, 17, 13, 20, 26, 28, 26, 23,
  20, 15, 24, 29, 33, 30, 25, 21, 17, 27, 33, 34, 33, 26, 23, 19, 21, 23, 20,
  15, 13, 10,  7, 21, 24, 23, 17, 14, 13,  9, 21, 24, 25, 21, 18, 16, 13, 21,
  25, 30, 25, 22, 19, 16, 25, 29, 34, 32, 27, 23, 19, 29, 33, 37, 36, 29, 24,
  20, 32, 35, 37, 38, 32, 26, 21,  9, 11, 14, 17, 17, 14, 11,  9, 11, 13, 16,
  17, 13, 11,  8, 10, 12, 15, 17, 15, 12,  8, 10, 13, 16, 18, 15, 13,  8, 10,
  13, 15, 19, 17, 13, 11, 11, 13, 15, 18, 16, 13, 16, 15, 14, 14, 16, 17, 13,
   8, 10, 12, 14, 13, 10,  7,  8,  9, 11, 13, 13,  9,  7,  7,  8, 11, 13, 12,
  10,  8,  6,  9, 12, 14, 13, 12,  9,  6,  9, 11, 13, 13, 12, 10, 11, 12, 13,
  13, 12, 11, 10, 19, 17, 14, 13, 11, 11, 10,  7,  9,  9,  8,  9,  7,  4,  6,
   8,  8,  7,  7,  6,  3,  5,  8,  8,  7,  7,  6,  5,  4,  7,  8,  8,  7,  7,
   6,  7,  9,  9,  8,  8,  7,  6, 14, 14, 13, 11,  9,  7,  6, 21, 19, 14, 11,
   9,  7,  6,  5,  4,  3,  3,  3,  4,  2,  3,  3,  3,  2,  2,  2,  0,  2,  2,
   2,  3,  2,  2,  2,  7,  3,  4,  5,  4,  4,  4,  8,  9,  9,  8,  8,  7,  5,
  14, 15, 14, 11, 10,  8,  6, 20, 21, 16, 13, 11,  9,  7,  5,  3,  2,  2,  2,
   2,  2,  6,  4,  3,  2,  3,  2,  0,  5,  5,  4,  4,  4,  4,  3,  5,  8,  8,
   8,  8,  8,  6,  9, 14, 13, 13, 13, 10,  7, 14, 19, 20, 18, 15, 12,  8, 20,
  23, 23, 19, 17, 14,  9,  9,  9,  7,  6,  4,  3,  2,  9, 11,  9,  8,  5,  3,
   2,  8, 12, 11, 11,  9,  6,  5,  9, 14, 17, 16, 13, 10,  8, 12, 18, 22, 21,
  18, 14,  9, 17, 23, 27, 25, 20, 15, 11, 22, 26, 29, 28, 23, 17, 12, 14, 18,
  15, 10,  6,  3,  2, 13, 18, 18, 12,  8,  5,  3, 14, 18, 20, 15, 12,  9,  6,
  14, 19, 25, 21, 17, 13, 11, 17, 23, 28, 26, 22, 17, 12, 22, 26, 32, 32, 25,
  19, 14, 26, 30, 33, 33, 27, 20, 15, 10, 14, 18, 22, 22, 20, 17,  8, 12, 17,
  20, 22, 19, 16,  7, 11, 14, 17, 20, 17, 13,  5,  9, 12, 15, 16, 15, 13,  3,
   6, 10, 13, 15, 16, 14,  4,  5,  8, 11, 14, 16, 13, 10,  7,  7, 11, 13, 15,
  14,  7, 11, 15, 18, 20, 17, 13,  5,  9, 14, 17, 19, 15, 12,  4,  8, 12, 13,
  15, 14,  9,  3,  6,  9, 11, 12, 13,  8,  2,  3,  7, 10, 12, 12,  8,  6,  5,
   6,  8, 10, 11,  8, 12, 10,  6,  8,  8,  8,  8,  4,  8, 10, 12, 13, 12,  9,
   2,  7,  9, 11, 11, 11,  7,  1,  5,  8,  9,  9, 10,  4,  1,  3,  4,  5,  5,
   5,  1,  3,  3,  3,  3,  3,  3,  1,  9,  8,  7,  5,  4,  2,  1, 14, 13,  9,
   7,  5,  4,  1,  2,  2,  4,  5,  7,  8,  6,  1,  1,  2,  3,  4,  5,  2,  0,
   1,  1,  1,  1,  1,  1,  1,  2,  2,  2,  2,  2,  2,  4,  6,  6,  6,  6,  5,
   4,  9, 10,  9,  8,  8,  7,  6, 14, 15, 11, 10,  9,  8,  8,  6,  6,  6,  6,
   6,  4,  6,  7,  7,  8,  8,  8,  6,  3,  7,  9,  8,  8,  9,  8,  3,  7, 10,
  10, 10, 10,  9,  6,  9, 13, 12, 12, 12, 11,  8, 11, 15, 15, 14, 13, 12,  9,
  14, 17, 17, 15, 14, 13, 10, 13, 13, 13, 13, 11,  8,  5, 12, 15, 14, 13, 12,
   9,  6, 12, 16, 15, 14, 12, 10,  7, 13, 15, 16, 15, 13, 11,  9, 13, 16, 18,
  17, 16, 12, 10, 14, 18, 22, 20, 17, 14, 11, 16, 20, 22, 21, 18, 15, 12, 17,
  20, 19, 16, 13, 11,  6, 18, 21, 21, 16, 13, 11,  8, 17, 21, 23, 17, 14, 11,
   9, 17, 21, 23, 19, 15, 13, 11, 17, 21, 24, 21, 18, 15, 12, 18, 22, 25, 25,
  19, 16, 13, 20, 23, 26, 25, 21, 16, 14,  7,  8, 10, 13, 13, 11,  9,  7,  8,
  10, 12, 13, 10,  8,  6,  8,  9, 10, 11,  9,  7,  5,  7,  8,  9, 10,  8,  8,
   5,  7,  8,  9, 10,  9,  8,  7,  8,  9,  9,  9,  8,  8, 13, 13, 11,  9,  9,
   8,  8,  7,  8,  9, 10, 11,  9,  7,  6,  7,  8, 10, 11,  8,  7,  4,  7,  8,
   8,  8,  7,  6,  3,  6,  7,  8,  7,  7,  7,  3,  6,  8,  8,  8,  8,  7,  8,
   9, 10,  9,  7,  7,  7, 16, 15, 12, 10,  8,  7,  7,  4,  7,  7,  7,  7,  7,
   5,  3,  6,  7,  7,  7,  6,  4,  2,  5,  6,  6,  6,  6,  5,  1,  5,  6,  6,
   6,  6,  6,  5,  6,  6,  6,  6,  6,  6, 11, 11, 10,  9,  7,  5,  6, 18, 17,
  13, 10,  7,  5,  4,  2,  3,  3,  3,  3,  4,  2,  1,  1,  2,  2,  2,  2,  2,
   1,  0,  1,  1,  1,  1,  2,  3,  2,  2,  3,  3,  3,  3,  5,  7,  6,  6,  7,
   6,  5, 11, 12, 12, 11,  9,  8,  7, 18, 20, 15, 13, 11,  9,  8,  6,  6,  6,
   6,  6,  5,  2,  7,  7,  7,  7,  7,  6,  2,  8,  9,  9,  8,  9,  7,  3,  8,
  12, 11, 11, 12, 11,  7, 10, 16, 16, 15, 17, 14,  9, 13, 19, 22, 20, 19, 16,
  11, 18, 23, 24, 22, 20, 18, 12, 14, 16, 15, 16, 12,  8,  4, 14, 18, 17, 18,
  14,  9,  5, 14, 20, 19, 20, 16, 11,  7, 14, 20, 22, 22, 19, 14, 10, 16, 22,
  27, 24, 22, 18, 12, 19, 25, 30, 28, 24, 20, 14, 23, 28, 31, 30, 26, 22, 16,
  22, 28, 26, 20, 16, 11,  6, 22, 28, 28, 23, 18, 12,  8, 22, 27, 31, 24, 19,
  14, 10, 22, 27, 32, 25, 22, 18, 14, 23, 28, 33, 30, 25, 22, 16, 26, 30, 34,
  32, 28, 24, 18, 28, 31, 34, 35, 29, 25, 21,  9, 12, 14, 14, 15, 13, 12,  8,
  10, 13, 14, 15, 13, 11,  6, 10, 12, 14, 14, 12, 11,  5,  8, 11, 13, 14, 13,
  12,  6,  8, 11, 14, 15, 14, 12,  8,  9, 11, 13, 15, 14, 12, 14, 14, 12, 12,
  13, 14, 12,  6, 10, 12, 13, 13, 11,  9,  6,  9, 11, 13, 13, 11,  8,  4,  7,
  10, 12, 12, 10,  9,  3,  7, 10, 12, 11, 11,  9,  4,  6,  9, 11, 11, 12, 10,
   9, 10, 12, 12, 11, 11,  9, 17, 15, 13, 12, 10, 10,  9,  4,  7,  9,  9,  9,
   8,  4,  3,  6,  8,  8,  8,  7,  4,  2,  5,  7,  7,  7,  7,  4,  2,  5,  6,
   6,  7,  7,  5,  6,  6,  7,  6,  7,  6,  5, 12, 12, 11, 10,  7,  6,  5, 19,
  18, 14, 10,  8,  6,  4,  2,  2,  3,  3,  3,  3,  2,  1,  1,  2,  2,  2,  2,
   2,  1,  1,  0,  0,  0,  0,  2,  4,  3,  3,  4,  4,  4,  5,  6,  8,  7,  7,
   8,  7,  6, 12, 14, 12, 11, 10,  8,  7, 19, 20, 16, 13, 11, 10,  9,  7,  6,
   6,  6,  6,  5,  2,  8,  8,  7,  7,  8,  6,  2,  8,  9,  9,  9,  9,  7,  4,
   8, 13, 12, 12, 12, 11,  7, 11, 17, 17, 16, 16, 14,  9, 15, 21, 23, 20, 19,
  16, 11, 19, 24, 26, 23, 21, 18, 13, 15, 17, 15, 16, 12,  8,  4, 15, 18, 18,
  17, 13,  9,  5, 15, 20, 19, 19, 15, 11,  7, 15, 21, 23, 23, 19, 15, 11, 18,
  25, 28, 26, 23, 18, 12, 20, 26, 33, 31, 26, 19, 14, 23, 29, 33, 33, 28, 22,
  16, 22, 28, 27, 21, 15, 11,  6, 22, 28, 30, 22, 17, 12,  8, 23, 28, 32, 25,
  19, 15, 11, 23, 29, 34, 28, 22, 18, 15, 24, 31, 37, 34, 28, 21, 16, 27, 34,
  39, 37, 31, 25, 18, 30, 35, 40, 40, 33, 26, 20,  9, 13, 16, 19, 19, 17, 14,
   8, 12, 15, 18, 19, 16, 13,  7, 10, 14, 17, 18, 15, 13,  6,  9, 12, 15, 17,
  15, 13,  6,  9, 11, 15, 17, 15, 13,  8,  9, 11, 14, 16, 16, 13, 14, 14, 12,
  13, 16, 15, 13,  7, 11, 14, 17, 16, 13, 10,  6,  9, 13, 16, 16, 13,  9,  5,
   8, 11, 14, 14, 11,  8,  4,  7, 10, 12, 12, 12,  9,  5,  7, 10, 12, 12, 12,
   9,  9, 10, 11, 12, 11, 11,  9, 17, 15, 13, 11, 10, 10,  9,  5,  8,  9, 10,
  11,  9,  6,  4,  6,  8,  9, 10,  9,  5,  3,  5,  7,  7,  7,  7,  4,  2,  6,
   6,  6,  6,  7,  5,  6,  7,  7,  6,  6,  6,  5, 12, 12, 11,  9,  7,  5,  5,
  19, 17, 13, 10,  7,  5,  4,  3,  2,  3,  4,  4,  5,  3,  1,  2,  2,  3,  3,
   3,  3,  1,  1,  0,  0,  0,  0,  2,  4,  3,  3,  3,  3,  3,  4,  6,  8,  7,
   7,  7,  7,  5, 12, 14, 12, 11, 10,  8,  7, 19, 20, 16, 13, 11, 10,  8,  7,
   6,  6,  7,  7,  6,  3,  8,  8,  7,  8,  8,  7,  3,  8,  9,  9,  9,  9,  7,
   4,  8, 13, 12, 12, 12, 11,  7, 11, 17, 17, 16, 16, 14,  9, 15, 21, 22, 21,
  18, 16, 11, 19, 24, 25, 23, 21, 18, 12, 15, 17, 16, 16, 13,  9,  5, 15, 19,
  18, 17, 14,  9,  5, 15, 20, 19, 18, 14, 11,  7, 15, 22, 24, 22, 19, 15, 10,
  18, 24, 28, 26, 23, 18, 12, 21, 26, 34, 32, 25, 20, 14, 24, 29, 34, 33, 27,
  22, 16, 23, 28, 27, 21, 16, 12,  7, 23, 29, 29, 22, 17, 12,  8, 23, 28, 32,
  24, 19, 15, 10, 22, 29, 35, 29, 22, 18, 14, 23, 30, 36, 34, 27, 22, 16, 27,
  32, 39, 38, 31, 24, 18, 30, 36, 40, 40, 33, 26, 20, 10, 14, 18, 20, 21, 19,
  15,  8, 12, 16, 20, 21, 17, 13,  7, 10, 15, 18, 19, 16, 13,  6,  9, 12, 15,
  19, 16, 13,  6,  9, 12, 15, 18, 16, 14,  8,  9, 11, 14, 18, 17, 13, 14, 13,
  12, 13, 16, 17, 14,  7, 11, 15, 18, 17, 14, 11,  6, 10, 13, 16, 17, 13,  9,
   5,  8, 12, 14, 14, 11,  9,  4,  7, 10, 13, 13, 12, 10,  5,  7, 10, 12, 12,
  12,  9, 10, 10, 11, 12, 12, 11, 10, 17, 15, 12, 12, 10, 11,  9,  5,  8, 10,
  11, 12, 10,  6,  4,  7,  9, 10, 10,  9,  5,  3,  6,  7,  7,  7,  7,  4,  1,
   6,  6,  6,  7,  7,  5,  6,  7,  7,  6,  6,  6,  5, 13, 12, 11,  9,  7,  6,
   5, 19, 17, 13, 10,  7,  5,  4,  3,  3,  3,  4,  5,  6,  3,  1,  1,  2,  3,
   3,  3,  2,  1,  1,  0,  0,  0,  0,  1,  4,  3,  4,  3,  3,  3,  3,  6,  8,
   7,  7,  7,  6,  5, 13, 14, 12, 11,  9,  8,  6, 19, 21, 15, 13, 11,  9,  8,
   7,  6,  6,  6,  7,  6,  3,  9,  8,  7,  7,  8,  6,  2,  9, 10,  9,  8,  8,
   7,  3,  9, 13, 12, 12, 12, 11,  7, 12, 18, 17, 16, 16, 13,  8, 15, 21, 22,
  20, 18, 15, 10, 19, 24, 26, 23, 21, 17, 12, 15, 16, 15, 15, 12,  9,  4, 15,
  19, 17, 17, 13,  9,  4, 15, 20, 19, 18, 14, 10,  7, 15, 21, 23, 21, 18, 14,
  10, 18, 24, 29, 26, 23, 17, 12, 20, 27, 33, 31, 25, 19, 14, 24, 29, 33, 33,
  28, 21, 15, 22, 27, 26, 20, 15, 11,  7, 23, 27, 27, 21, 16, 12,  7, 22, 27,
  29, 23, 18, 14, 10, 23, 28, 33, 27, 23, 18, 13, 25, 30, 35, 33, 26, 22, 16,
  27, 32, 38, 38, 30, 23, 18, 29, 34, 38, 37, 32, 25, 20, 10, 14, 17, 21, 21,
  18, 15,  9, 12, 15, 20, 20, 17, 13,  7, 11, 14, 17, 19, 15, 13,  6,  9, 12,
  16, 18, 16, 14,  6,  9, 12, 15, 19, 17, 14,  9, 10, 11, 14, 18, 17, 14, 14,
  13, 12, 14, 17, 17, 13,  7, 11, 15, 18, 17, 15, 11,  6, 10, 13, 16, 17, 13,
   9,  5,  8, 12, 15, 14, 11,  9,  4,  8, 11, 13, 13, 12,  9,  5,  7, 10, 12,
  13, 12, 10, 10, 10, 11, 12, 12, 12, 10, 16, 14, 12, 12, 11, 11, 10,  5,  8,
  10, 11, 12, 10,  6,  4,  7,  9, 10, 10,  9,  5,  3,  6,  7,  8,  7,  7,  4,
   2,  6,  7,  7,  7,  7,  5,  6,  7,  7,  7,  7,  6,  5, 13, 12, 11,  9,  7,
   5,  5, 17, 16, 12, 10,  7,  5,  4,  3,  3,  3,  4,  5,  6,  4,  1,  1,  2,
   3,  3,  3,  2,  1,  1,  0,  0,  0,  0,  1,  4,  4,  4,  3,  3,  3,  3,  7,
   9,  8,  7,  8,  6,  5, 13, 14, 12, 10,  9,  8,  6, 18, 19, 15, 13, 11,  9,
   8,  7,  6,  6,  6,  7,  6,  4,  9,  8,  7,  7,  8,  6,  2,  9, 10,  9,  8,
   8,  7,  3,  9, 14, 13, 12, 12, 10,  7, 12, 18, 17, 16, 16, 14,  9, 15, 21,
  22, 20, 18, 15, 10, 18, 23, 24, 22, 19, 17, 12, 15, 15, 14, 13, 11,  9,  4,
  16, 17, 15, 14, 12,  9,  4, 15, 19, 17, 15, 12, 10,  7, 15, 20, 21, 18, 16,
  14, 10, 18, 23, 26, 23, 20, 17, 12, 21, 25, 31, 27, 22, 18, 14, 23, 28, 31,
  29, 24, 20, 15, 20, 23, 20, 15, 13, 11,  7, 21, 23, 22, 17, 13, 11,  7, 20,
  23, 23, 19, 15, 13, 10, 20, 24, 28, 22, 18, 17, 14, 23, 26, 30, 28, 23, 19,
  16, 26, 29, 33, 32, 25, 21, 17, 28, 31, 34, 34, 27, 22, 18, 11, 13, 16, 19,
  19, 16, 13, 10, 12, 15, 18, 18, 15, 11,  8, 11, 14, 16, 17, 14, 11,  7,  9,
  12, 15, 17, 15, 12,  8, 10, 12, 15, 18, 15, 12,  8,  9, 12, 14, 17, 16, 12,
  12, 12, 11, 13, 16, 16, 12,  9, 11, 14, 16, 15, 12,  9,  7, 10, 12, 15, 14,
  11,  8,  7,  9, 12, 13, 12, 10,  7,  6,  9, 11, 13, 12, 10,  8,  6,  8, 10,
  12, 12, 11,  9, 10,  9, 10, 12, 11, 11,  8, 15, 13, 11, 11, 10,  9,  8,  7,
   9, 10, 10, 11,  9,  6,  6,  8,  9,  9,  9,  7,  4,  4,  7,  8,  7,  6,  6,
   4,  4,  8,  7,  7,  6,  6,  5,  6,  8,  7,  7,  6,  6,  5, 12, 11, 10,  8,
   6,  5,  5, 16, 15, 11,  9,  6,  5,  4,  5,  4,  4,  4,  5,  6,  4,  3,  3,
   4,  4,  3,  3,  2,  2,  2,  2,  2,  1,  1,  0,  4,  2,  3,  3,  2,  2,  2,
   7,  7,  6,  6,  6,  5,  3, 12, 13, 11,  9,  7,  6,  4, 17, 18, 13, 10,  8,
   7,  5,  4,  4,  3,  3,  3,  4,  4,  5,  5,  3,  3,  3,  3,  2,  6,  5,  4,
   4,  4,  3,  2,  5,  9,  8,  7,  7,  6,  4,  8, 14, 13, 12, 12,  9,  5, 13,
  17, 18, 16, 14, 11,  7, 16, 20, 21, 18, 15, 13,  8, 10, 10,  9,  9,  7,  4,
   3,  9, 12, 11, 10,  8,  4,  2,  9, 13, 12, 12,  8,  5,  3,  9, 15, 16, 15,
  12,  9,  6, 13, 18, 22, 20, 17, 12,  8, 16, 21, 27, 24, 19, 14, 10, 20, 24,
  27, 27, 21, 16, 11, 15, 19, 18, 13,  9,  6,  3, 15, 20, 20, 15, 10,  6,  3,
  15, 20, 22, 16, 12,  8,  5, 15, 20, 25, 20, 16, 13,  9, 18, 23, 28, 26, 21,
  16, 11, 21, 26, 31, 30, 23, 17, 13, 24, 29, 31, 32, 25, 20, 14, 13, 16, 20,
  25, 25, 24, 19, 11, 14, 18, 23, 25, 21, 17, 10, 14, 17, 20, 23, 19, 16,  8,
  12, 14, 17, 20, 18, 15,  6,  9, 12, 15, 17, 18, 15,  5,  8, 11, 13, 16, 18,
  15,  7,  8,  9, 13, 15, 18, 15,  9, 14, 17, 20, 21, 19, 15,  8, 13, 15, 19,
  21, 18, 14,  7, 11, 14, 17, 17, 15, 12,  6,  9, 12, 14, 14, 14, 11,  3,  7,
  10, 12, 13, 14, 11,  4,  6,  9, 11, 12, 12, 11,  9,  7,  8, 10, 10, 11, 11,
   7, 11, 13, 14, 16, 15, 11,  5, 10, 11, 13, 13, 14,  9,  4,  8, 10, 11, 11,
  11,  7,  3,  5,  7,  8,  8,  8,  5,  2,  4,  6,  6,  6,  6,  5,  6,  6,  5,
   5,  5,  5,  5, 10,  9,  7,  4,  3,  4,  4,  4,  6,  7,  7,  9, 11, 11,  3,
   4,  6,  6,  7,  8,  7,  1,  3,  4,  4,  4,  4,  3,  0,  0,  0,  0,  0,  0,
   0,  3,  3,  3,  3,  3,  3,  2,  6,  7,  6,  5,  4,  4,  3, 10, 12,  8,  6,
   5,  4,  4,  4,  4,  4,  4,  6,  8, 10,  4,  5,  5,  5,  5,  5,  7,  4,  5,
   6,  5,  5,  5,  2,  4,  7,  6,  6,  6,  5,  3,  5,  9,  8,  8,  8,  7,  4,
   7, 11, 11, 11,  9,  8,  5, 10, 13, 13, 12, 11,  9,  6,  9, 10,  9,  9,  8,
   6,  8,  9, 11, 10, 10,  8,  6,  4,  9, 12, 11, 11,  9,  6,  4,  9, 12, 12,
  12, 10,  7,  5,  9, 13, 15, 14, 12,  9,  6, 11, 14, 18, 16, 13, 10,  7, 13,
  16, 18, 18, 14, 11,  8, 14, 17, 16, 12, 10,  7,  6, 14, 18, 17, 14, 10,  7,
   5, 14, 17, 19, 14, 11,  8,  5, 13, 16, 20, 15, 12,  9,  7, 13, 17, 20, 17,
  15, 11,  8, 14, 18, 21, 20, 16, 12,  9, 16, 19, 22, 22, 17, 14, 10, 10, 11,
  14, 17, 17, 14, 12,  9, 11, 13, 16, 17, 14, 11,  9, 11, 12, 13, 14, 13, 10,
   8,  9, 10, 12, 13, 10,  8,  6,  7,  8,  9, 11,  9,  8,  6,  7,  8,  8, 10,
   9,  8, 12, 12,  9,  8,  9,  9,  8,  9, 10, 12, 14, 14, 12, 10,  8, 10, 11,
  13, 14, 11,  9,  7,  9, 10, 11, 11, 10,  8,  6,  8,  9,  9,  9,  8,  7,  4,
   6,  7,  8,  7,  7,  7,  7,  8,  9,  8,  7,  7,  7, 15, 13, 11,  8,  6,  7,
   7,  7,  9, 10,  9, 10,  9,  8,  5,  8,  9,  9,  9,  9,  7,  4,  8,  9,  9,
   8,  8,  7,  3,  6,  6,  7,  7,  7,  6,  3,  4,  5,  6,  6,  6,  6,  9,  9,
  10,  8,  6,  6,  6, 17, 16, 12,  9,  6,  5,  5,  4,  5,  6,  6,  6,  7,  3,
   3,  4,  5,  5,  5,  5,  3,  2,  2,  3,  3,  4,  4,  2,  0,  0,  0,  0,  0,
   0,  0,  4,  5,  4,  4,  4,  4,  3,  9, 11, 10,  9,  7,  5,  4, 17, 19, 14,
  10,  9,  7,  6,  5,  5,  6,  6,  6,  5,  3,  6,  7,  7,  7,  8,  6,  3,  6,
   8,  9,  9,  9,  7,  3,  6, 10,  9,  9, 10,  9,  4,  8, 14, 14, 14, 14, 12,
   6, 11, 17, 19, 17, 16, 14,  8, 16, 21, 21, 19, 17, 16, 10, 13, 16, 16, 16,
  13,  8,  3, 14, 18, 17, 17, 14,  9,  5, 14, 19, 20, 18, 15, 10,  6, 14, 19,
  20, 19, 17, 13,  8, 14, 20, 22, 21, 18, 16, 10, 17, 21, 26, 23, 21, 17, 12,
  20, 23, 26, 25, 21, 19, 14, 22, 26, 25, 20, 16, 11,  6, 21, 26, 26, 21, 17,
  13,  8, 22, 26, 28, 23, 19, 14,  9, 21, 26, 28, 23, 19, 16, 12, 21, 25, 28,
  25, 20, 18, 14, 22, 26, 29, 28, 23, 19, 16, 23, 26, 30, 28, 24, 21, 17, 13,
  16, 18, 20, 19, 17, 16, 11, 14, 17, 19, 20, 17, 15, 10, 14, 17, 18, 18, 15,
  13,  8, 11, 14, 16, 17, 14, 12,  6,  9, 12, 13, 15, 13, 12,  5,  8, 11, 13,
  15, 14, 12, 11, 11, 10, 13, 14, 14, 12, 10, 13, 16, 18, 17, 16, 13,  9, 12,
  16, 18, 17, 16, 13,  7, 11, 14, 16, 16, 14, 11,  6,  9, 12, 14, 13, 12, 10,
   4,  7, 10, 12, 12, 12, 10,  7,  8,  9, 11, 11, 11, 10, 14, 12, 10, 10, 10,
  10, 10,  7, 11, 13, 14, 15, 13,  9,  6, 10, 12, 13, 13, 12,  8,  5,  8, 11,
  11, 11, 11,  7,  3,  6,  7,  7,  8,  8,  5,  3,  5,  6,  6,  6,  7,  5,  9,
   9,  9,  7,  5,  5,  5, 16, 15, 11,  8,  5,  5,  4,  5,  5,  6,  7,  8,  8,
   5,  3,  4,  5,  6,  6,  6,  4,  2,  2,  3,  4,  4,  4,  3,  0,  0,  0,  0,
   0,  0,  0,  4,  4,  4,  4,  4,  3,  2,  9, 11,  9,  8,  6,  5,  4, 16, 18,
  12,  9,  8,  6,  5,  5,  5,  6,  6,  7,  6,  5,  7,  7,  7,  7,  8,  6,  4,
   7,  8,  8,  8,  8,  6,  3,  7, 10,  9,  9,  9,  7,  4,  8, 14, 13, 13, 13,
  11,  5, 11, 17, 18, 17, 15, 12,  7, 15, 20, 21, 19, 17, 15,  9, 14, 15, 15,
  16, 13,  8,  5, 14, 17, 17, 16, 14,  9,  4, 14, 20, 19, 18, 14,  9,  5, 14,
  19, 21, 19, 15, 11,  7, 14, 20, 24, 23, 19, 14,  9, 17, 23, 29, 28, 22, 16,
  11, 20, 25, 30, 30, 24, 19, 13, 22, 28, 27, 21, 16, 11,  7, 22, 28, 29, 23,
  16, 12,  7, 22, 28, 32, 24, 17, 12,  8, 22, 28, 33, 25, 20, 15, 11, 21, 27,
  33, 30, 24, 19, 13, 23, 30, 35, 34, 27, 21, 15, 25, 31, 35, 36, 29, 23, 17,
  13, 16, 20, 23, 24, 21, 18, 11, 15, 19, 23, 23, 19, 16, 10, 14, 17, 21, 21,
  19, 15,  9, 11, 15, 18, 20, 16, 14,  6,  9, 12, 15, 18, 16, 13,  6,  8, 11,
  14, 17, 16, 14, 11, 11, 11, 13, 16, 16, 13, 10, 14, 17, 20, 20, 17, 14,  9,
  13, 16, 20, 20, 16, 13,  7, 11, 15, 18, 17, 15, 11,  6,  9, 12, 14, 14, 13,
  10,  4,  7, 10, 13, 13, 13, 10,  7,  7,  9, 11, 12, 12, 10, 14, 12, 10, 11,
  11, 11, 10,  8, 11, 13, 14, 15, 14,  9,  6, 10, 12, 13, 14, 13,  8,  5,  8,
  11, 10, 11, 11,  7,  4,  6,  7,  7,  8,  8,  5,  4,  5,  6,  6,  6,  6,  5,
   9,  9,  8,  7,  5,  5,  5, 16, 14, 10,  7,  5,  4,  4,  5,  6,  6,  7,  8,
   9,  6,  3,  4,  5,  6,  6,  6,  5,  2,  3,  3,  4,  3,  4,  3,  0,  0,  0,
   0,  0,  0,  0,  4,  5,  4,  4,  4,  3,  2,  9, 11,  9,  7,  6,  5,  3, 16,
  17, 12,  9,  7,  6,  5,  6,  6,  6,  6,  7,  6,  6,  7,  7,  7,  7,  8,  6,
   5,  7,  8,  8,  8,  8,  6,  3,  7, 10,  9,  9,  9,  7,  4,  9, 14, 13, 13,
  13, 10,  5, 11, 17, 19, 17, 15, 12,  7, 15, 19, 22, 19, 17, 14,  9, 14, 15,
  15, 15, 12,  9,  6, 14, 18, 17, 16, 13,  9,  4, 14, 19, 19, 18, 14,  9,  5,
  14, 19, 20, 19, 15, 11,  7, 14, 20, 25, 23, 19, 14,  9, 17, 23, 29, 28, 21,
  16, 10, 20, 26, 30, 30, 24, 18, 12, 22, 27, 26, 20, 15, 11,  7, 22, 28, 29,
  22, 16, 12,  7, 21, 28, 31, 23, 17, 12,  7, 22, 27, 31, 24, 19, 15, 11, 21,
  28, 33, 29, 24, 18, 12, 24, 29, 35, 34, 27, 20, 14, 26, 31, 36, 36, 29, 22,
  16, 13, 17, 21, 24, 24, 21, 18, 12, 15, 19, 23, 24, 20, 16, 10, 14, 17, 21,
  22, 18, 15,  9, 12, 15, 18, 21, 17, 14,  6,  9, 12, 15, 19, 17, 14,  6,  8,
  11, 14, 18, 17, 14, 11, 10, 10, 13, 16, 16, 14, 10, 14, 18, 22, 20, 18, 14,
   9, 13, 17, 20, 20, 16, 12,  8, 11, 15, 18, 17, 14, 11,  7,  9, 12, 14, 14,
  13,  9,  5,  7, 10, 12, 13, 12, 10,  7,  8,  9, 11, 12, 12, 10, 13, 11, 10,
  11, 11, 11, 10,  8, 11, 13, 14, 15, 14, 10,  6, 10, 12, 13, 14, 12,  8,  5,
   9, 10, 11, 10, 11,  6,  4,  7,  7,  7,  7,  7,  5,  4,  5,  6,  6,  6,  6,
   5, 10,  9,  8,  7,  5,  5,  5, 15, 13, 10,  7,  5,  4,  4,  5,  6,  6,  7,
   8,  9,  6,  4,  4,  5,  6,  6,  6,  4,  2,  3,  4,  3,  3,  3,  2,  0,  0,
   0,  0,  0,  0,  0,  4,  5,  4,  4,  4,  3,  2,  9, 11,  9,  7,  6,  5,  3,
  15, 16, 12,  9,  7,  6,  5,  6,  6,  6,  6,  7,  6,  6,  7,  7,  7,  7,  8,
   6,  4,  7,  8,  8,  8,  8,  6,  2,  7, 10,  9,  9,  9,  7,  4,  9, 14, 14,
  12, 13, 10,  5, 12, 17, 19, 17, 15, 12,  7, 15, 20, 22, 19, 17, 14,  9, 14,
  16, 15, 15, 12,  8,  6, 15, 18, 17, 17, 14,  9,  4, 15, 19, 19, 18, 14,  9,
   5, 14, 19, 20, 19, 15, 10,  7, 15, 21, 24, 23, 19, 14,  9, 17, 23, 30, 27,
  21, 16, 11, 20, 25, 30, 29, 24, 18, 12, 22, 27, 26, 20, 15, 11,  7, 22, 27,
  27, 21, 16, 11,  7, 22, 27, 30, 23, 17, 12,  7, 22, 27, 30, 24, 19, 15, 11,
  22, 26, 32, 29, 23, 18, 13, 24, 29, 34, 34, 26, 20, 14, 26, 31, 35, 35, 28,
  22, 16, 13, 17, 20, 24, 25, 22, 19, 12, 16, 19, 24, 24, 21, 16, 10, 14, 18,
  21, 23, 19, 15,  9, 12, 15, 19, 21, 17, 14,  7, 10, 12, 16, 19, 16, 14,  6,
   9, 11, 15, 18, 18, 14,  9,  9, 10, 13, 17, 17, 14, 11, 14, 18, 21, 21, 18,
  14,  9, 13, 17, 20, 20, 17, 13,  8, 11, 15, 17, 18, 15, 11,  7,  9, 12, 15,
  14, 13,  9,  5,  8, 10, 13, 13, 13, 10,  7,  7,  9, 12, 12, 12, 10, 10,  9,
   9, 11, 11, 11, 10,  8, 12, 13, 15, 16, 14, 10,  7, 10, 12, 13, 14, 12,  8,
   5,  9, 11, 11, 10, 10,  6,  4,  7,  8,  7,  7,  8,  5,  4,  5,  7,  6,  6,
   6,  5,  9,  8,  7,  6,  5,  5,  5, 11, 10,  8,  6,  4,  4,  4,  6,  6,  6,
   7,  9,  9,  6,  4,  4,  5,  6,  6,  7,  4,  2,  3,  4,  4,  3,  3,  2,  0,
   0,  0,  0,  0,  0,  0,  4,  5,  4,  4,  4,  3,  2,  9,  9,  8,  6,  6,  5,
   3, 12, 13, 10,  8,  7,  6,  5,  6,  6,  6,  6,  7,  6,  6,  7,  7,  7,  8,
   8,  6,  4,  7,  9,  8,  8,  8,  6,  2,  7, 11,  9,  9,  9,  7,  3,  9, 15,
  13, 13, 13, 10,  5, 12, 16, 17, 16, 14, 12,  7, 13, 18, 19, 18, 16, 13,  8,
  14, 15, 14, 13, 12,  8,  6, 15, 17, 15, 14, 12,  9,  4, 15, 18, 17, 15, 12,
   9,  5, 14, 18, 18, 15, 14, 11,  7, 15, 20, 22, 20, 17, 13,  8, 17, 22, 25,
  22, 18, 15, 10, 18, 23, 26, 24, 21, 16, 12, 20, 22, 20, 15, 13, 10,  7, 20,
  23, 22, 17, 14, 11,  7, 20, 23, 23, 17, 14, 11,  7, 20, 23, 24, 19, 16, 14,
  10, 20, 23, 27, 24, 20, 16, 12, 22, 26, 29, 29, 22, 18, 14, 24, 27, 29, 29,
  24, 19, 15, 12, 15, 18, 21, 20, 18, 15, 11, 13, 17, 20, 20, 17, 13, 10, 13,
  15, 18, 18, 15, 12,  9, 11, 13, 15, 18, 14, 11,  7,  9, 11, 14, 17, 14, 11,
   6,  8, 10, 12, 16, 14, 11,  8,  9, 10, 12, 14, 14, 11, 11, 13, 16, 18, 17,
  15, 11, 10, 12, 14, 17, 16, 13, 10,  8, 11, 14, 15, 14, 11,  8,  8,  9, 11,
  13, 12, 10,  7,  6,  8, 10, 11, 11, 10,  7,  5,  7,  9, 11, 10, 10,  7, 10,
   9,  9, 10,  9,  9,  7,  8, 11, 12, 12, 13, 11,  8,  8, 10, 11, 11, 11, 10,
   6,  7,  9, 10,  9,  8,  8,  5,  5,  8,  7,  6,  6,  6,  4,  3,  5,  6,  5,
   5,  5,  4,  7,  7,  7,  6,  5,  4,  4, 11, 11,  8,  6,  5,  3,  3,  7,  6,
   6,  6,  7,  8,  6,  4,  5,  5,  6,  6,  5,  4,  2,  3,  4,  4,  3,  3,  2,
   0,  0,  0,  0,  0,  0,  0,  3,  4,  3,  3,  3,  3,  2,  7,  9,  7,  6,  5,
   4,  3, 12, 13, 10,  8,  6,  5,  4,  4,  4,  5,  5,  6,  6,  6,  5,  6,  5,
   6,  6,  5,  4,  6,  7,  7,  6,  6,  5,  2,  6,  8,  7,  7,  7,  6,  3,  7,
  12, 11, 11, 11,  8,  4, 10, 15, 16, 14, 12, 10,  6, 13, 17, 19, 16, 14, 12,
   7, 11, 13, 12, 12, 10,  7,  6, 11, 14, 13, 13, 10,  7,  4, 12, 16, 16, 14,
  11,  7,  4, 11, 16, 16, 15, 12,  9,  6, 12, 17, 21, 19, 15, 11,  7, 15, 20,
  24, 23, 18, 13,  8, 17, 21, 25, 25, 20, 15, 10, 18, 22, 21, 16, 12,  9,  5,
  18, 22, 23, 17, 13,  9,  5, 18, 22, 25, 18, 13, 10,  6, 18, 22, 26, 21, 16,
  12,  9, 18, 23, 27, 24, 19, 15, 10, 20, 25, 30, 28, 21, 16, 11, 22, 26, 30,
  30, 24, 18, 13, 13, 17, 21, 26, 25, 22, 19, 11, 15, 19, 23, 25, 22, 19, 10,
  14, 18, 21, 24, 21, 17,  9, 12, 15, 18, 21, 19, 15,  6,  9, 12, 15, 16, 18,
  15,  3,  6, 10, 13, 16, 17, 15,  4,  6,  8, 12, 15, 18, 15, 10, 14, 18, 21,
  21, 18, 16,  9, 13, 16, 20, 21, 18, 14,  7, 11, 15, 17, 18, 18, 12,  6,  9,
  12, 15, 15, 15, 10,  3,  6,  9, 12, 12, 14, 10,  2,  4,  7, 10, 12, 11, 10,
   6,  5,  6,  9, 10, 10, 10,  7, 11, 14, 15, 16, 15, 12,  6, 10, 12, 13, 15,
  14, 10,  5,  8, 11, 11, 12, 12,  8,  5,  6,  8,  8,  9,  9,  5,  1,  3,  4,
   5,  5,  6,  5,  4,  3,  3,  3,  3,  4,  5,  8,  7,  4,  2,  2,  2,  3,  6,
   6,  8,  9, 10, 11,  9,  5,  6,  7,  8,  8,  9,  8,  4,  5,  6,  6,  6,  7,
   7,  3,  4,  4,  4,  4,  4,  3,  0,  2,  1,  1,  2,  1,  3,  4,  5,  4,  3,
   2,  2,  3,  8,  9,  6,  4,  3,  2,  3,  4,  6,  6,  6,  7,  8,  9,  5,  6,
   6,  6,  7,  7,  8,  5,  6,  7,  7,  7,  6,  6,  5,  7,  6,  6,  6,  5,  3,
   4,  7,  6,  6,  6,  5,  3,  5,  9,  9,  8,  7,  6,  4,  8, 11, 11,  9,  9,
   7,  4,  9, 11, 11, 11,  9,  7,  8,  9, 12, 11, 12, 10,  7,  7, 10, 13, 12,
  12, 10,  8,  6,  9, 12, 12, 12,  9,  7,  4,  8, 11, 13, 12, 10,  7,  5,  9,
  12, 16, 15, 11,  8,  5, 11, 13, 16, 16, 12,  9,  6, 14, 18, 17, 14, 11,  8,
   7, 14, 18, 19, 14, 12,  9,  7, 14, 19, 21, 14, 12,  9,  7, 14, 17, 20, 15,
  11,  8,  5, 13, 16, 19, 16, 12,  9,  6, 13, 17, 19, 18, 14, 10,  7, 14, 17,
  20, 19, 15, 11,  8, 15, 17, 19, 22, 22, 19, 17, 15, 16, 18, 21, 22, 19, 16,
  14, 16, 18, 19, 20, 18, 14, 13, 14, 15, 17, 18, 15, 10, 10, 11, 12, 13, 14,
  12, 10,  6,  8,  9,  9, 12, 12, 10,  8,  8,  8,  9, 11, 12, 10, 13, 16, 17,
  19, 19, 18, 16, 13, 14, 17, 18, 18, 16, 15, 11, 14, 16, 17, 16, 15, 13, 10,
  12, 14, 14, 14, 13,  9,  7,  9, 10, 11, 10,  9,  9,  3,  6,  7,  8,  9,  9,
   9, 10,  9,  7,  8,  8,  8,  9, 12, 14, 16, 15, 16, 16, 14, 10, 13, 15, 15,
  15, 15, 13,  9, 13, 14, 14, 14, 13, 12,  7, 10, 11, 11, 12, 11,  9,  3,  6,
   8,  8,  8,  8,  8,  5,  5,  5,  6,  7,  7,  8, 12, 12,  8,  5,  6,  6,  8,
   9, 10, 11, 12, 12, 13, 10,  7,  8,  9, 10, 11, 11,  9,  6,  7,  8,  8,  8,
   9,  8,  3,  4,  4,  5,  5,  5,  4,  2,  0,  0,  0,  0,  2,  3,  5,  7,  6,
   4,  2,  1,  3, 12, 14,  9,  6,  4,  3,  3,  4,  5,  7,  8,  9,  9, 10,  5,
   6,  6,  7,  8,  8,  9,  5,  7,  7,  7,  7,  6,  7,  5,  8,  8,  8,  8,  6,
   3,  4, 10, 10, 10, 10,  9,  3,  7, 12, 13, 12, 12, 10,  5, 12, 14, 15, 13,
  12, 11,  7, 12, 14, 14, 15, 11,  8,  9, 12, 16, 15, 16, 13,  8,  8, 12, 18,
  18, 17, 14,  9,  6, 12, 16, 18, 16, 14, 10,  5, 12, 16, 17, 16, 14, 11,  7,
  12, 16, 19, 17, 15, 12,  9, 14, 17, 19, 18, 15, 13, 10, 20, 23, 22, 19, 14,
  10,  8, 19, 23, 23, 19, 15, 12,  7, 19, 23, 25, 20, 16, 12,  7, 19, 22, 25,
  19, 16, 13,  9, 18, 21, 23, 20, 16, 14, 10, 17, 19, 23, 22, 17, 13, 12, 18,
  21, 23, 23, 18, 14, 12, 17, 20, 22, 25, 24, 23, 20, 15, 19, 21, 24, 24, 21,
  19, 14, 17, 21, 22, 22, 20, 17, 13, 15, 18, 20, 21, 18, 13,  9, 12, 15, 17,
  17, 15, 13,  6,  9, 11, 14, 16, 15, 13,  7,  8, 10, 13, 15, 15, 13, 14, 17,
  20, 22, 21, 20, 18, 13, 16, 21, 22, 21, 19, 16, 11, 15, 18, 19, 20, 17, 15,
  10, 12, 16, 17, 17, 16, 11,  7,  9, 12, 14, 13, 12, 11,  4,  7,  9, 12, 12,
  12, 11, 10,  9,  8, 11, 11, 12, 11, 11, 15, 17, 18, 19, 18, 14, 10, 13, 16,
  17, 18, 16, 12,  8, 12, 14, 14, 15, 15, 11,  7, 10, 11, 11, 11, 11,  7,  4,
   6,  7,  8,  7,  8,  7,  4,  5,  5,  6,  6,  7,  7, 11, 11,  7,  4,  5,  5,
   6,  9,  9, 10, 11, 13, 13, 10,  7,  8,  9, 10, 10, 11,  9,  6,  7,  7,  7,
   7,  8,  6,  3,  4,  4,  4,  4,  4,  3,  1,  0,  0,  0,  0,  1,  2,  5,  6,
   5,  4,  2,  2,  2, 11, 13,  8,  6,  4,  3,  3,  4,  5,  6,  8,  9, 10, 10,
   6,  6,  6,  7,  8,  8,  9,  6,  7,  7,  7,  7,  6,  6,  6,  9,  8,  8,  8,
   6,  2,  5, 10, 10,  9,  9,  8,  3,  7, 13, 14, 13, 12,  9,  5, 11, 16, 18,
  15, 14, 11,  6, 13, 15, 15, 15, 11,  9, 10, 12, 16, 16, 16, 12,  8,  8, 13,
  18, 18, 17, 13,  9,  5, 13, 18, 19, 18, 15, 10,  5, 12, 18, 21, 20, 16, 11,
   6, 12, 19, 25, 24, 19, 13,  8, 16, 21, 26, 26, 21, 15, 10, 20, 27, 26, 20,
  15, 10,  9, 21, 27, 28, 22, 16, 11,  7, 20, 28, 31, 23, 17, 12,  7, 21, 26,
  31, 24, 18, 13,  8, 20, 25, 31, 27, 21, 15, 10, 20, 26, 31, 31, 23, 17, 11,
  22, 28, 32, 32, 25, 19, 13, 17, 21, 24, 28, 27, 25, 22, 15, 20, 23, 26, 26,
  24, 20, 14, 18, 21, 24, 25, 22, 19, 13, 16, 19, 21, 23, 20, 15,  9, 12, 15,
  18, 20, 18, 15,  6,  9, 12, 15, 18, 17, 15,  7,  7, 11, 14, 17, 18, 14, 14,
  18, 21, 25, 24, 22, 18, 13, 16, 21, 24, 24, 21, 17, 11, 15, 18, 21, 21, 18,
  14, 10, 13, 15, 17, 18, 16, 11,  7, 10, 12, 14, 15, 14, 11,  4,  7, 10, 12,
  13, 13, 11,  9,  8,  9, 11, 11, 12, 11, 11, 15, 17, 18, 20, 18, 14, 10, 14,
  16, 17, 18, 16, 12,  8, 12, 14, 14, 15, 15, 10,  8, 10, 11, 11, 11, 11,  7,
   4,  6,  7,  7,  8,  7,  7,  5,  5,  6,  6,  6,  6,  7, 11, 10,  7,  4,  5,
   5,  6,  9,  9, 10, 11, 13, 13, 10,  7,  8,  9, 10, 10, 10,  8,  6,  6,  7,
   7,  7,  7,  6,  3,  4,  4,  4,  4,  4,  3,  1,  0,  0,  0,  0,  1,  2,  5,
   6,  5,  4,  2,  2,  2, 10, 11,  8,  5,  4,  3,  3,  5,  5,  6,  8,  8, 10,
  10,  6,  6,  6,  7,  8,  8,  8,  6,  7,  8,  7,  7,  6,  5,  6,  9,  8,  8,
   8,  6,  2,  5, 10, 10,  9,  9,  7,  3,  7, 13, 14, 13, 11,  9,  4, 10, 15,
  18, 15, 13, 11,  6, 13, 14, 14, 15, 11,  9, 10, 13, 17, 16, 16, 12,  8,  7,
  13, 19, 18, 17, 13,  8,  5, 13, 18, 19, 18, 14,  9,  4, 12, 17, 21, 19, 15,
  10,  6, 13, 19, 24, 23, 18, 12,  8, 16, 22, 26, 26, 20, 14,  9, 21, 27, 26,
  20, 15, 10,  8, 21, 27, 28, 21, 16, 11,  6, 20, 26, 31, 22, 17, 12,  6, 20,
  26, 31, 23, 18, 13,  7, 19, 26, 30, 27, 20, 14,  9, 20, 25, 31, 30, 23, 16,
  11, 22, 27, 32, 32, 25, 19, 12, 17, 20, 24, 28, 29, 26, 23, 16, 20, 24, 28,
  28, 24, 20, 14, 18, 22, 25, 26, 23, 19, 13, 16, 19, 22, 25, 21, 15, 10, 13,
  15, 19, 21, 19, 15,  7,  9, 13, 15, 20, 18, 16,  5,  8, 12, 15, 17, 19, 15,
  14, 18, 22, 26, 25, 22, 19, 13, 17, 20, 24, 24, 21, 17, 11, 15, 19, 22, 21,
  19, 15, 10, 13, 16, 18, 18, 17, 12,  7, 10, 12, 14, 15, 14, 11,  4,  7, 10,
  12, 13, 14, 12,  5,  6,  9, 12, 12, 12, 11, 11, 16, 17, 18, 20, 18, 14, 10,
  14, 16, 17, 18, 16, 12,  9, 13, 15, 14, 15, 14, 10,  8, 11, 11, 11, 12, 11,
   7,  4,  7,  8,  8,  8,  8,  7,  4,  5,  6,  6,  6,  6,  7,  6,  5,  5,  5,
   5,  5,  6,  9,  9, 10, 12, 13, 14, 10,  8,  8,  9, 10, 10, 10,  8,  7,  7,
   8,  7,  7,  7,  6,  3,  4,  4,  4,  4,  4,  3,  2,  0,  0,  0,  0,  1,  2,
   5,  5,  3,  2,  2,  1,  1,  6,  7,  4,  4,  3,  2,  2,  5,  5,  6,  8,  9,
  10, 10,  6,  6,  6,  7,  8,  8,  8,  6,  7,  7,  7,  7,  5,  5,  6,  9,  8,
   7,  8,  6,  2,  6, 11,  9,  9,  9,  7,  3,  7, 12, 13, 12, 10,  8,  4,  7,
  12, 15, 14, 12, 10,  5, 13, 15, 14, 14, 11,  9, 10, 13, 17, 16, 15, 12,  8,
   7, 13, 19, 18, 16, 13,  8,  4, 13, 18, 19, 18, 13,  9,  4, 13, 17, 20, 19,
  15, 10,  5, 13, 18, 24, 22, 18, 11,  7, 13, 18, 24, 25, 19, 14,  8, 20, 26,
  24, 19, 14, 10,  9, 20, 26, 27, 21, 15, 10,  6, 21, 26, 28, 21, 16, 11,  6,
  21, 25, 29, 23, 17, 12,  7, 20, 25, 28, 25, 19, 14,  9, 20, 26, 30, 27, 21,
  15, 10, 20, 26, 30, 30, 24, 17, 12, 16, 20, 24, 28, 28, 26, 21, 15, 19, 23,
  27, 28, 24, 20, 13, 17, 21, 24, 26, 22, 18, 12, 15, 18, 21, 24, 20, 15,  9,
  12, 15, 17, 21, 18, 15,  7, 10, 12, 16, 19, 18, 16,  5,  8, 11, 15, 18, 18,
  15, 14, 17, 21, 25, 24, 21, 18, 12, 16, 20, 23, 23, 20, 16, 11, 14, 18, 20,
  21, 18, 14,  9, 12, 15, 18, 18, 16, 11,  7,  9, 11, 14, 14, 14, 11,  4,  7,
  10, 13, 13, 14, 11,  5,  6,  9, 12, 12, 12, 11, 11, 15, 17, 17, 19, 17, 13,
   9, 13, 15, 16, 17, 16, 11,  8, 12, 14, 14, 14, 14,  9,  7, 10, 10, 10, 11,
  11,  7,  3,  6,  7,  7,  7,  8,  6,  4,  5,  6,  6,  6,  6,  7,  7,  5,  5,
   5,  5,  5,  5,  8,  9, 10, 11, 12, 13,  9,  7,  7,  8,  9, 10,  9,  7,  5,
   6,  7,  7,  6,  6,  5,  3,  4,  3,  3,  3,  3,  3,  1,  2,  1,  1,  1,  0,
   1,  4,  5,  3,  3,  2,  2,  1,  7,  8,  5,  4,  3,  2,  2,  5,  5,  5,  7,
   8,  9,  9,  7,  6,  6,  7,  7,  7,  7,  7,  8,  7,  7,  7,  5,  4,  7, 10,
   8,  7,  7,  6,  2,  6, 11, 10,  9,  9,  7,  2,  8, 12, 12, 11, 10,  8,  4,
   8, 12, 15, 12, 11, 10,  5, 14, 14, 13, 12, 11,  8,  9, 14, 16, 15, 14, 11,
   8,  6, 14, 18, 16, 14, 11,  8,  4, 14, 18, 17, 14, 12,  8,  4, 12, 17, 19,
  16, 13, 10,  5, 13, 17, 21, 18, 14, 11,  7, 14, 18, 21, 20, 15, 12,  8, 19,
  22, 19, 15, 12, 10,  7, 19, 22, 21, 17, 14, 10,  6, 20, 22, 23, 17, 13, 10,
   6, 19, 22, 23, 18, 14, 11,  7, 18, 21, 23, 20, 16, 12,  8, 18, 21, 23, 23,
  17, 13, 10, 19, 22, 24, 24, 19, 15, 11, 14, 18, 21, 23, 24, 21, 18, 14, 17,
  20, 23, 23, 20, 16, 12, 15, 19, 21, 22, 18, 15, 11, 14, 16, 19, 20, 17, 14,
   8, 11, 13, 16, 20, 18, 14,  7, 10, 13, 15, 19, 18, 14,  6,  8, 12, 15, 18,
  17, 14, 13, 16, 18, 21, 20, 18, 15, 11, 15, 17, 20, 19, 16, 13, 10, 13, 16,
  18, 17, 15, 12,  9, 11, 14, 16, 15, 14, 11,  6,  9, 12, 14, 14, 13, 10,  5,
   8, 11, 13, 13, 12, 11,  7,  7,  9, 12, 12, 12, 11, 10, 14, 15, 15, 16, 14,
  11,  8, 12, 14, 15, 14, 13, 10,  7, 11, 13, 12, 12, 12,  8,  6,  9,  9,  9,
   9,  9,  6,  3,  7,  8,  7,  7,  7,  6,  4,  5,  6,  6,  6,  6,  6,  8,  7,
   6,  5,  5,  5,  5,  8,  8,  9,  9, 10, 11,  7,  6,  6,  7,  8,  8,  8,  5,
   4,  5,  6,  5,  5,  5,  3,  2,  3,  2,  2,  2,  2,  2,  3,  3,  2,  2,  2,
   1,  0,  5,  5,  4,  3,  2,  2,  1,  7, 10,  6,  4,  3,  2,  2,  4,  4,  4,
   5,  6,  7,  7,  5,  5,  4,  4,  5,  5,  5,  5,  4,  4,  3,  3,  2,  2,  4,
   6,  4,  4,  4,  3,  1,  5,  8,  8,  7,  7,  5,  2,  6, 11, 12, 11,  9,  7,
   3,  9, 13, 15, 12, 11,  8,  4,  8,  9,  9,  9,  7,  6,  7,  8, 11, 10, 10,
   7,  4,  4,  8, 12, 12, 11,  7,  4,  2,  8, 12, 13, 12,  9,  6,  3,  9, 13,
  17, 15, 12,  8,  4, 11, 16, 21, 19, 14, 10,  5, 13, 18, 21, 21, 16, 11,  7,
  15, 19, 17, 13,  9,  6,  6, 14, 18, 19, 14,  9,  6,  3, 14, 19, 21, 15, 10,
   6,  3, 14, 18, 22, 16, 12,  9,  6, 14, 18, 23, 21, 16, 11,  7, 16, 21, 25,
  25, 19, 13,  8, 19, 23, 25, 26, 20, 15, 10, 14, 17, 22, 25, 25, 23, 20, 13,
  16, 20, 24, 25, 22, 18, 13, 15, 18, 21, 24, 19, 16, 12, 13, 16, 19, 21, 17,
  14,  9, 10, 12, 14, 15, 16, 13,  5,  6,  8, 11, 13, 15, 13,  3,  3,  6,  9,
  13, 15, 13, 13, 15, 18, 22, 22, 19, 17, 12, 14, 17, 21, 21, 18, 16, 11, 13,
  16, 18, 18, 16, 12, 11, 11, 13, 15, 15, 13,  7,  8,  8,  9, 11, 10, 11,  8,
   3,  3,  5,  8,  9,  9,  8,  4,  3,  4,  7,  8,  8,  7, 12, 13, 15, 16, 17,
  17, 16, 11, 13, 14, 15, 16, 16, 14, 10, 12, 13, 13, 13, 14, 12, 10, 10, 10,
  10, 11, 10,  6,  6,  6,  6,  6,  5,  5,  5,  0,  2,  1,  2,  4,  4,  5,  5,
   4,  2,  1,  3,  4,  5, 11, 12, 13, 13, 15, 16, 16, 10, 11, 12, 14, 14, 15,
  14,  9, 10, 12, 12, 13, 13, 12,  6,  9,  9,  9,  9,  9,  7,  4,  5,  5,  5,
   5,  4,  4,  0,  2,  2,  1,  2,  3,  5,  5,  6,  3,  2,  3,  3,  4,  9, 11,
  12, 13, 14, 15, 16,  8,  9, 11, 12, 13, 14, 14,  8,  9, 10, 11, 11, 12, 12,
   8,  8,  8,  8,  8,  8,  5,  5,  7,  7,  6,  6,  5,  4,  3,  6,  7,  7,  7,
   6,  4,  5,  8,  9,  8,  8,  7,  5, 10, 11, 12, 12, 12, 14, 15, 10, 12, 12,
  13, 12, 12, 14, 10, 13, 13, 13, 11, 10, 11, 10, 12, 13, 12, 11,  8,  5,  8,
  11, 12, 12,  9,  7,  5,  7, 10, 14, 13, 10,  8,  5,  8, 11, 14, 14, 11,  9,
   6, 14, 19, 17, 15, 12, 12, 14, 15, 19, 19, 16, 13, 11, 12, 15, 19, 21, 15,
  13, 10,  9, 15, 18, 21, 15, 12,  9,  6, 13, 16, 18, 15, 11,  9,  7, 12, 15,
  18, 17, 13,  9,  7, 12, 16, 18, 19, 14, 11,  8, 21, 23, 24, 27, 27, 25, 23,
  20, 23, 25, 26, 26, 23, 21, 20, 22, 23, 24, 24, 22, 18, 18, 20, 21, 21, 21,
  18, 12, 15, 17, 18, 17, 16, 13, 12, 11, 13, 13, 12, 13, 13, 12,  6,  8, 10,
  12, 13, 13, 12, 19, 22, 23, 25, 25, 24, 23, 18, 21, 23, 25, 24, 22, 21, 17,
  21, 22, 22, 21, 20, 18, 16, 19, 20, 20, 19, 16, 11, 12, 15, 16, 16, 12, 12,
  11,  8, 11, 12, 10, 11, 11, 11,  4,  6,  9, 10, 10, 11, 11, 17, 20, 21, 23,
  23, 23, 20, 15, 19, 21, 22, 22, 21, 18, 14, 18, 20, 20, 19, 20, 16, 13, 15,
  16, 16, 16, 15, 11,  8, 12, 13, 13, 10, 10, 10,  2,  7,  8,  8,  9,  9, 10,
   5,  6,  6,  7,  8,  9, 10, 14, 15, 17, 18, 19, 20, 18, 12, 13, 16, 17, 17,
  17, 16, 10, 12, 13, 14, 14, 14, 13,  7, 11, 11, 11, 11,  9,  9,  4,  7,  6,
   6,  4,  5,  5,  2,  0,  0,  2,  3,  4,  6,  5,  7,  3,  2,  2,  3,  4, 11,
  12, 13, 15, 16, 17, 18,  8, 11, 13, 14, 15, 15, 16,  8, 10, 11, 11, 12, 13,
  12,  8,  8,  8,  8,  8,  7,  5,  6,  7,  7,  7,  8,  6,  4,  3,  8,  9,  8,
   8,  8,  3,  5,  8,  9,  9,  9,  8,  5, 10, 12, 12, 13, 13, 16, 18, 10, 14,
  14, 15, 12, 14, 14, 10, 15, 15, 14, 11, 10, 11,  9, 14, 15, 13, 12,  7,  3,
   9, 13, 14, 13, 10,  9,  5,  9, 12, 14, 13, 11,  9,  7,  9, 11, 14, 14, 12,
  10,  8, 17, 20, 19, 17, 13, 14, 16, 17, 20, 20, 18, 14, 11, 13, 17, 20, 22,
  17, 14,  9,  9, 17, 19, 21, 16, 13, 11,  7, 15, 17, 19, 16, 12, 10,  8, 13,
  16, 18, 17, 13, 10,  8, 12, 15, 18, 18, 14, 11,  9, 21, 24, 28, 30, 29, 29,
  26, 20, 24, 27, 28, 30, 27, 23, 18, 23, 26, 27, 27, 24, 20, 17, 20, 23, 24,
  25, 21, 15, 14, 17, 20, 21, 19, 17, 15, 10, 13, 15, 16, 18, 17, 15,  6,  9,
  12, 15, 17, 17, 15, 19, 23, 25, 28, 28, 26, 23, 17, 21, 25, 27, 27, 24, 21,
  16, 19, 24, 25, 24, 22, 18, 15, 17, 21, 22, 21, 18, 13, 12, 14, 17, 18, 15,
  14, 13,  7, 10, 12, 14, 14, 14, 13,  4,  6, 10, 13, 13, 13, 13, 16, 20, 22,
  23, 25, 22, 18, 15, 18, 20, 22, 22, 21, 17, 14, 17, 19, 19, 19, 19, 14, 12,
  15, 16, 16, 15, 14,  9,  7, 11, 12, 12, 10, 10,  9,  2,  7,  7,  8,  8,  8,
   9,  5,  5,  6,  6,  7,  7,  8, 14, 14, 15, 16, 18, 18, 16, 12, 13, 14, 15,
  16, 16, 13,  9, 12, 12, 12, 12, 12, 10,  6, 10,  9,  9,  9,  7,  8,  4,  6,
   5,  5,  3,  3,  4,  1,  0,  0,  1,  2,  3,  3,  5,  6,  3,  2,  2,  2,  2,
  10, 11, 12, 13, 14, 15, 16,  7, 10, 11, 12, 13, 13, 14,  7,  9, 10, 10, 10,
  10, 10,  7,  7,  7,  7,  7,  6,  3,  5,  7,  7,  7,  8,  6,  2,  3,  8, 10,
   9,  9,  8,  3,  5, 11, 13, 11, 11, 10,  5, 10, 13, 13, 13, 12, 14, 15, 10,
  14, 14, 15, 11, 12, 13, 10, 16, 16, 16, 11,  9,  8, 10, 15, 17, 17, 12,  7,
   3,  9, 15, 19, 18, 15, 10,  5,  9, 15, 22, 21, 17, 11,  7, 11, 17, 22, 23,
  20, 14,  8, 18, 25, 24, 18, 13, 13, 14, 19, 25, 26, 19, 14, 11, 11, 18, 24,
  29, 21, 15, 10,  7, 18, 25, 29, 22, 17, 11,  6, 18, 23, 28, 25, 19, 13,  8,
  17, 23, 28, 27, 21, 15, 10, 18, 23, 28, 29, 22, 18, 12, 20, 24, 27, 31, 31,
  28, 26, 19, 23, 27, 30, 30, 27, 23, 18, 21, 25, 27, 29, 26, 21, 16, 19, 22,
  25, 26, 23, 17, 13, 16, 18, 21, 22, 19, 16, 10, 12, 15, 17, 20, 19, 16,  6,
   9, 12, 16, 18, 19, 16, 18, 21, 25, 28, 28, 26, 22, 16, 20, 24, 27, 27, 23,
  19, 15, 18, 22, 24, 24, 22, 17, 14, 16, 19, 22, 21, 19, 13, 11, 13, 16, 18,
  16, 15, 13,  7,  9, 12, 14, 14, 14, 12,  4,  7, 10, 13, 13, 14, 12, 15, 18,
  21, 22, 24, 21, 18, 14, 17, 20, 21, 21, 19, 16, 13, 16, 18, 18, 18, 17, 13,
  11, 13, 15, 14, 15, 14,  8,  7, 10, 11, 11, 10,  9,  8,  2,  6,  7,  7,  8,
   8,  8,  3,  5,  6,  6,  7,  7,  7, 13, 13, 14, 15, 16, 17, 14, 11, 11, 13,
  14, 14, 14, 11,  8, 10, 11, 11, 11, 10,  9,  5,  8,  7,  7,  7,  6,  6,  3,
   4,  4,  4,  2,  2,  3,  1,  2,  1,  0,  1,  2,  3,  3,  4,  2,  2,  2,  2,
   2,  9,  9, 10, 11, 12, 14, 13,  6,  8,  9, 10, 11, 11, 11,  6,  8,  8,  8,
   9,  9,  8,  6,  7,  6,  6,  6,  5,  3,  4,  8,  8,  8,  8,  6,  2,  3,  9,
  10, 10,  9,  7,  3,  5,  9, 12, 11, 11,  9,  5, 11, 13, 13, 13, 11, 12, 13,
  11, 15, 15, 15, 11, 10, 10, 11, 16, 16, 16, 11,  8,  7, 11, 16, 17, 16, 12,
   8,  3, 10, 15, 19, 17, 14,  9,  5, 10, 15, 22, 21, 16, 10,  6, 11, 16, 21,
  23, 18, 13,  8, 19, 25, 24, 18, 13, 11, 12, 19, 25, 27, 20, 14,  9,  9, 18,
  25, 29, 21, 15, 10,  6, 19, 24, 29, 22, 16, 11,  6, 18, 24, 29, 24, 18, 13,
   8, 18, 23, 29, 27, 20, 14,  9, 18, 24, 30, 29, 22, 16, 11, 19, 23, 26, 31,
  30, 27, 24, 17, 22, 26, 29, 30, 27, 22, 16, 20, 23, 27, 28, 25, 21, 15, 17,
  21, 24, 27, 23, 17, 12, 15, 17, 20, 22, 20, 17,  8, 11, 13, 17, 21, 20, 16,
   6,  9, 13, 16, 19, 20, 17, 16, 20, 24, 28, 27, 25, 21, 15, 19, 22, 26, 27,
  23, 19, 14, 18, 21, 24, 23, 21, 17, 12, 15, 18, 20, 20, 18, 13,  9, 12, 14,
  17, 16, 16, 13,  6,  9, 12, 14, 14, 15, 12,  4,  7, 10, 13, 13, 14, 13, 14,
  18, 19, 20, 22, 20, 17, 12, 15, 19, 19, 20, 19, 14, 11, 15, 17, 16, 16, 17,
  12, 10, 13, 13, 13, 13, 13,  8,  6,  9, 10, 10,  9,  9,  8,  3,  6,  7,  7,
   8,  8,  8,  4,  5,  6,  6,  7,  7,  7, 11, 12, 12, 14, 15, 16, 12, 10, 10,
  11, 12, 13, 13, 10,  8,  9, 10,  9,  9,  9,  7,  4,  7,  6,  6,  6,  6,  5,
   2,  2,  2,  2,  2,  2,  3,  2,  4,  2,  1,  0,  1,  2,  4,  6,  3,  2,  2,
   1,  2,  6,  7,  8,  9, 10, 11, 12,  5,  6,  7,  9,  9,  9, 10,  5,  6,  7,
   6,  6,  7,  6,  5,  7,  6,  6,  6,  5,  3,  4,  9,  8,  7,  7,  5,  2,  5,
   9, 10,  9,  9,  7,  3,  6, 10, 12, 11, 10,  9,  4, 11, 13, 13, 13, 10, 10,
  11, 12, 15, 14, 14, 11,  8,  9, 11, 17, 16, 15, 11,  7,  5, 11, 16, 17, 16,
  12,  8,  3, 11, 16, 19, 18, 14,  9,  4, 11, 16, 22, 20, 15, 10,  6, 11, 16,
  22, 22, 17, 12,  7, 19, 25, 23, 17, 13,  9, 10, 19, 25, 25, 19, 14,  9,  7,
  20, 25, 27, 20, 15, 10,  5, 19, 24, 28, 22, 16, 11,  6, 18, 24, 28, 23, 17,
  12,  7, 18, 23, 27, 25, 20, 14,  9, 18, 23, 27, 28, 22, 16, 10, 18, 22, 26,
  29, 29, 26, 23, 16, 20, 24, 29, 29, 25, 21, 15, 19, 23, 25, 28, 23, 19, 14,
  16, 19, 23, 25, 22, 16, 10, 13, 16, 19, 23, 20, 16,  8, 11, 14, 17, 21, 20,
  17,  7, 10, 13, 16, 19, 20, 16, 15, 19, 23, 26, 26, 23, 19, 14, 17, 22, 25,
  25, 21, 18, 12, 16, 20, 22, 23, 20, 16, 11, 14, 16, 19, 19, 17, 13,  8, 11,
  13, 16, 16, 15, 13,  6,  9, 12, 14, 14, 14, 13,  5,  7, 11, 13, 13, 13, 13,
  13, 16, 18, 19, 21, 19, 15, 11, 15, 17, 18, 19, 17, 13, 10, 13, 16, 15, 16,
  15, 11,  9, 11, 12, 12, 12, 12,  8,  5,  8,  9,  9,  9,  9,  8,  3,  6,  7,
   8,  7,  7,  8,  5,  5,  6,  6,  7,  7,  7, 10, 10, 11, 12, 14, 14, 10,  9,
   9, 10, 11, 11, 11,  8,  7,  8,  8,  8,  8,  8,  6,  3,  5,  5,  5,  5,  5,
   4,  2,  1,  2,  2,  1,  2,  2,  3,  4,  3,  2,  1,  0,  1,  5,  7,  4,  3,
   2,  2,  2,  4,  4,  6,  7,  8,  9, 10,  5,  5,  5,  7,  7,  7,  8,  5,  6,
   6,  6,  5,  5,  5,  5,  8,  7,  6,  6,  5,  1,  5,  9,  8,  7,  8,  5,  2,
   6, 10, 11, 10,  9,  7,  3,  7, 10, 13, 11, 11,  9,  4, 12, 13, 12, 12, 10,
   8,  9, 12, 15, 14, 13, 11,  7,  7, 12, 17, 16, 13, 11,  6,  4, 13, 16, 16,
  14, 12,  7,  3, 11, 16, 18, 15, 13,  9,  4, 11, 16, 20, 18, 14, 10,  6, 12,
  16, 21, 20, 15, 12,  7, 18, 21, 19, 15, 12,  9,  8, 18, 21, 20, 16, 13,  9,
   5, 18, 21, 23, 16, 13,  9,  5, 18, 21, 23, 17, 14, 10,  6, 18, 20, 23, 20,
  15, 12,  8, 18, 20, 23, 21, 17, 13,  9, 18, 21, 23, 23, 18, 13, 10, 17, 20,
  24, 27, 27, 24, 21, 16, 19, 23, 26, 27, 23, 20, 14, 18, 21, 24, 26, 22, 18,
  13, 16, 18, 21, 24, 21, 17, 10, 12, 15, 18, 22, 20, 16,  8, 11, 14, 17, 21,
  20, 16,  7, 10, 13, 16, 20, 19, 17, 14, 17, 21, 24, 23, 21, 18, 13, 17, 20,
  23, 23, 20, 16, 11, 15, 19, 21, 20, 18, 14, 10, 13, 16, 19, 17, 16, 12,  7,
  11, 13, 15, 16, 15, 12,  6,  9, 12, 14, 15, 14, 12,  6,  8, 11, 13, 13, 13,
  12, 12, 15, 17, 17, 19, 17, 13, 10, 13, 16, 17, 17, 16, 11,  9, 12, 14, 14,
  14, 14, 10,  8, 10, 11, 11, 11, 11,  7,  5,  8,  9,  9,  8,  8,  7,  5,  7,
   8,  8,  7,  7,  7,  6,  6,  6,  6,  6,  6,  6,  9,  9, 10, 11, 12, 13,  8,
   8,  8,  9,  9,  9, 10,  6,  6,  7,  7,  7,  6,  6,  4,  3,  4,  4,  3,  3,
   3,  3,  3,  3,  2,  2,  1,  1,  1,  5,  5,  4,  2,  2,  1,  0,  7,  7,  4,
   3,  2,  2,  2,  3,  3,  4,  5,  6,  8,  8,  4,  4,  4,  5,  5,  5,  6,  4,
   5,  4,  3,  3,  3,  3,  4,  6,  4,  3,  3,  3,  0,  5,  6,  5,  4,  4,  3,
   2,  6,  8,  9,  7,  6,  4,  2,  7, 10, 11,  8,  7,  5,  2,  6,  6,  6,  6,
   5,  7,  7,  6,  8,  7,  7,  5,  4,  5,  6,  9,  8,  7,  4,  2,  2,  6,  8,
   9,  8,  5,  3,  2,  7, 10, 13, 12,  9,  5,  2,  8, 12, 17, 15, 11,  7,  3,
  10, 14, 18, 17, 12,  8,  4, 11, 15, 14,  9,  6,  6,  6, 10, 15, 16, 10,  6,
   3,  3, 10, 15, 18, 11,  7,  3,  2, 10, 14, 18, 12,  8,  5,  3, 10, 15, 20,
  17, 12,  8,  4, 12, 17, 22, 20, 15, 10,  5, 14, 20, 23, 22, 17, 11,  7, 20,
  21, 23, 26, 26, 25, 23, 19, 21, 23, 25, 26, 23, 21, 18, 20, 21, 23, 23, 19,
  16, 18, 18, 19, 19, 20, 15, 11, 15, 15, 15, 14, 14, 14, 10, 11, 11,  8, 10,
  12, 14, 10,  5,  3,  5,  8, 11, 14, 10, 19, 20, 22, 23, 24, 23, 22, 18, 20,
  21, 24, 24, 21, 19, 18, 19, 21, 21, 20, 19, 16, 17, 17, 18, 18, 16, 13,  8,
  14, 14, 14, 13,  9,  9,  8,  9,  9,  7,  6,  8,  9,  9,  2,  2,  4,  5,  7,
   8,  8, 18, 20, 20, 21, 23, 23, 22, 17, 18, 20, 21, 22, 21, 19, 17, 18, 19,
  20, 19, 18, 16, 16, 17, 16, 16, 15, 12,  9, 11, 12, 12, 11,  7,  8,  8,  4,
   7,  6,  4,  6,  8,  8,  0,  2,  2,  4,  6,  6,  8, 17, 18, 19, 21, 23, 24,
  23, 16, 18, 20, 20, 21, 21, 20, 14, 18, 19, 19, 19, 18, 17, 10, 17, 16, 16,
  15, 12, 12,  7, 12, 11, 11,  6,  7,  8,  5,  5,  5,  3,  4,  5,  6,  0,  3,
   3,  3,  4,  5,  6, 15, 17, 19, 20, 22, 23, 23, 12, 16, 18, 19, 20, 20, 21,
  12, 16, 17, 17, 17, 17, 15, 12, 13, 13, 13, 12, 10,  7, 10,  9,  8,  8,  7,
   6,  6,  6,  7,  7,  6,  7,  7,  5,  4,  6,  8,  7,  7,  8,  6, 13, 14, 15,
  16, 19, 22, 23, 13, 14, 14, 16, 17, 18, 19, 13, 15, 15, 14, 14, 15, 14, 13,
  13, 13, 13, 12,  9,  6, 11, 12, 13, 12,  9,  8,  6,  8, 10, 13, 13, 10,  8,
   7,  7, 10, 13, 14, 11,  8,  7, 16, 19, 18, 16, 17, 20, 21, 16, 18, 19, 17,
  16, 17, 18, 16, 18, 20, 16, 14, 13, 13, 16, 17, 20, 15, 12, 10,  7, 14, 16,
  18, 16, 11,  8,  7, 12, 15, 17, 17, 12, 10,  8, 11, 15, 18, 18, 14, 10,  8,
  27, 30, 31, 32, 32, 31, 30, 26, 29, 31, 32, 32, 29, 27, 25, 28, 29, 30, 29,
  26, 23, 24, 26, 27, 27, 25, 21, 15, 21, 24, 23, 21, 18, 16, 15, 17, 19, 16,
  15, 17, 17, 15, 11, 11, 13, 15, 16, 16, 15, 25, 28, 30, 31, 30, 30, 29, 24,
  27, 30, 31, 30, 29, 26, 22, 26, 29, 28, 27, 25, 22, 22, 24, 25, 25, 23, 20,
  14, 18, 20, 22, 20, 15, 15, 14, 13, 16, 15, 14, 14, 14, 14,  7,  9, 12, 13,
  13, 14, 14, 23, 26, 27, 29, 30, 29, 26, 21, 25, 27, 29, 29, 27, 23, 20, 24,
  26, 26, 25, 24, 20, 18, 21, 22, 22, 21, 18, 14, 13, 17, 18, 17, 14, 14, 13,
   6, 13, 12, 10, 12, 12, 13,  3,  7,  8, 10, 11, 11, 13, 20, 21, 22, 24, 25,
  26, 25, 18, 20, 22, 23, 23, 22, 21, 15, 20, 20, 21, 20, 19, 18, 11, 19, 17,
  17, 16, 12, 13,  9, 14, 13, 11,  7,  8,  9,  6,  7,  6,  4,  6,  7,  7,  3,
   0,  3,  4,  5,  6,  8, 16, 19, 20, 21, 22, 24, 24, 12, 18, 20, 21, 21, 21,
  21, 12, 18, 18, 18, 18, 17, 16, 12, 14, 15, 14, 13, 10,  8, 10,  8,  9,  8,
   5,  4,  7,  6,  5,  5,  5,  5,  4,  6,  3,  3,  5,  5,  6,  5,  5, 13, 14,
  16, 17, 20, 22, 24, 13, 13, 14, 16, 18, 19, 20, 13, 13, 13, 14, 15, 16, 14,
  13, 12, 12, 12, 10,  9,  6, 10, 10, 11,  9,  7,  5,  5,  7,  8, 10,  9,  7,
   6,  4,  5,  7, 10, 10,  8,  7,  4, 14, 17, 16, 15, 18, 21, 22, 14, 16, 17,
  15, 16, 18, 18, 14, 17, 18, 14, 13, 13, 13, 14, 15, 17, 13, 11,  8,  4, 12,
  13, 15, 12,  8,  6,  5, 10, 12, 14, 13,  9,  7,  5,  8, 11, 14, 14, 10,  8,
   6, 25, 28, 31, 33, 33, 32, 29, 23, 27, 30, 32, 33, 30, 26, 21, 26, 29, 30,
  30, 27, 23, 21, 23, 26, 27, 28, 22, 17, 17, 20, 22, 23, 21, 19, 16, 13, 16,
  17, 17, 20, 19, 17,  8, 11, 14, 17, 19, 19, 16, 22, 25, 29, 31, 31, 29, 27,
  20, 25, 28, 30, 29, 28, 24, 19, 23, 26, 28, 27, 25, 21, 18, 21, 24, 25, 23,
  20, 15, 15, 17, 19, 20, 17, 16, 15, 11, 13, 15, 15, 15, 16, 15,  5,  9, 12,
  14, 15, 15, 15, 20, 23, 26, 27, 28, 26, 22, 18, 22, 24, 25, 26, 24, 20, 17,
  21, 23, 22, 22, 22, 17, 15, 18, 19, 19, 19, 17, 11,  9, 14, 15, 15, 12, 12,
  12,  3, 10, 11, 10, 10, 11, 11,  3,  6,  8,  8,  9,  9, 10, 17, 18, 18, 19,
  21, 22, 19, 14, 16, 17, 18, 19, 19, 16, 11, 15, 16, 16, 15, 15, 13,  8, 13,
  12, 12, 11, 10, 10,  6,  9,  8,  8,  5,  5,  6,  3,  3,  3,  2,  3,  4,  4,
   3,  3,  0,  2,  3,  4,  5, 12, 14, 15, 16, 17, 18, 19,  8, 13, 14, 15, 16,
  16, 16,  8, 12, 13, 13, 13, 13, 11,  8, 10, 10, 10,  9,  7,  4,  6,  6,  5,
   5,  6,  4,  4,  4,  6,  8,  8,  8,  6,  3,  2,  7, 10, 10, 10,  8,  3,  9,
  11, 11, 13, 15, 17, 18,  9, 12, 12, 13, 13, 15, 16,  9, 14, 14, 14, 11, 11,
  10,  9, 13, 15, 15, 11,  7,  3,  7, 12, 17, 17, 13,  8,  3,  7, 13, 19, 19,
  15, 10,  5,  8, 14, 20, 20, 17, 12,  6, 16, 22, 22, 16, 13, 16, 17, 16, 23,
  24, 18, 12, 13, 14, 17, 23, 26, 19, 13,  9, 10, 17, 22, 26, 20, 14,  9,  5,
  15, 21, 25, 23, 17, 12,  6, 15, 21, 25, 23, 18, 14,  8, 16, 21, 24, 24, 20,
  15, 10, 23, 26, 30, 33, 32, 30, 27, 21, 25, 29, 32, 32, 29, 26, 19, 24, 27,
  31, 31, 27, 22, 18, 21, 24, 27, 28, 24, 18, 15, 18, 20, 23, 23, 21, 18, 11,
  14, 17, 18, 22, 21, 18,  8, 11, 14, 17, 20, 21, 18, 19, 23, 27, 31, 29, 27,
  25, 18, 22, 26, 30, 29, 25, 22, 17, 20, 25, 26, 26, 24, 19, 16, 19, 22, 24,
  23, 20, 15, 13, 15, 18, 19, 18, 17, 14,  9, 11, 14, 16, 16, 16, 14,  5,  8,
  12, 15, 15, 15, 14, 17, 21, 23, 24, 26, 23, 20, 16, 19, 22, 23, 23, 21, 18,
  15, 18, 20, 20, 20, 20, 15, 13, 16, 16, 17, 17, 15, 10,  8, 12, 13, 13, 12,
  11, 10,  3,  8,  9,  9,  9, 10, 10,  3,  6,  7,  8,  8,  9,  8, 15, 15, 16,
  17, 19, 19, 15, 13, 14, 15, 16, 17, 17, 13, 10, 12, 13, 13, 13, 13, 10,  6,
  10,  9,  9,  9,  8,  8,  4,  6,  6,  6,  4,  3,  4,  2,  2,  2,  2,  2,  3,
   3,  3,  4,  2,  0,  2,  2,  3,  9, 10, 11, 12, 13, 15, 15,  6, 10, 11, 12,
  13, 13, 13,  6,  9,  9,  9, 10,  9,  9,  6,  7,  6,  6,  6,  5,  3,  4,  6,
   6,  6,  6,  4,  3,  2,  7,  9,  8,  8,  6,  2,  4,  8, 11, 10,  9,  8,  3,
   9, 11, 11, 12, 12, 14, 15,  9, 13, 13, 13, 11, 11, 11,  9, 15, 15, 14, 10,
   8,  8,  9, 14, 15, 15, 11,  6,  2,  8, 13, 18, 16, 12,  8,  3,  8, 14, 20,
  19, 14,  9,  5,  9, 14, 20, 21, 16, 11,  6, 17, 23, 22, 17, 11, 12, 13, 17,
  23, 24, 18, 12, 10, 10, 17, 23, 27, 19, 13,  8,  7, 17, 22, 27, 20, 15,  9,
   5, 16, 21, 27, 22, 16, 11,  6, 16, 22, 27, 25, 18, 13,  8, 16, 22, 27, 27,
  21, 15,  9, 20, 25, 28, 32, 32, 30, 27, 20, 23, 27, 31, 32, 27, 24, 17, 22,
  25, 29, 30, 26, 22, 17, 19, 22, 25, 28, 24, 18, 14, 16, 19, 21, 24, 22, 18,
  10, 12, 15, 18, 22, 21, 18,  8, 10, 14, 17, 20, 21, 18, 18, 22, 26, 29, 29,
  25, 22, 17, 20, 23, 27, 28, 24, 20, 15, 19, 23, 25, 25, 22, 19, 14, 17, 20,
  22, 22, 20, 14, 11, 14, 15, 18, 18, 17, 14,  7, 10, 13, 15, 16, 17, 14,  5,
   8, 12, 14, 15, 15, 14, 16, 19, 20, 22, 24, 22, 18, 14, 17, 20, 21, 22, 20,
  15, 13, 17, 18, 18, 19, 17, 13, 12, 15, 15, 14, 15, 14, 10,  8, 11, 11, 11,
  11, 10,  9,  3,  8,  9,  9,  9,  9,  9,  4,  6,  7,  7,  8,  8,  8, 13, 14,
  14, 15, 17, 18, 13, 12, 12, 13, 14, 14, 14, 11,  9, 11, 11, 11, 11, 11,  8,
   5,  9,  8,  7,  7,  7,  6,  3,  4,  4,  4,  3,  3,  3,  3,  2,  2,  2,  2,
   2,  2,  4,  5,  3,  2,  0,  1,  2,  7,  7,  8,  9, 11, 12, 12,  5,  7,  8,
   9,  9, 10, 10,  5,  6,  7,  7,  7,  7,  7,  5,  6,  5,  5,  5,  4,  2,  3,
   7,  6,  6,  6,  4,  2,  3,  8,  9,  8,  8,  6,  2,  4,  8, 11, 10, 10,  7,
   3, 10, 12, 12, 11,  9, 11, 12, 10, 14, 13, 13, 10,  8,  9, 10, 16, 15, 14,
  10,  6,  6, 10, 15, 16, 15, 11,  6,  2,  9, 14, 18, 17, 12,  8,  3,  9, 15,
  20, 19, 14,  9,  5, 10, 15, 20, 21, 16, 11,  6, 18, 24, 23, 16, 12, 10, 10,
  18, 23, 24, 18, 13,  8,  8, 18, 24, 26, 19, 13,  8,  5, 18, 23, 28, 21, 15,
  10,  4, 17, 22, 27, 23, 16, 11,  6, 17, 22, 27, 26, 18, 13,  8, 17, 22, 27,
  27, 21, 15,  9, 20, 24, 27, 31, 30, 28, 25, 18, 22, 25, 29, 30, 27, 23, 16,
  20, 24, 27, 28, 25, 21, 15, 18, 21, 24, 27, 23, 18, 12, 15, 17, 21, 24, 21,
  18,  9, 12, 15, 18, 22, 21, 18,  8, 11, 14, 17, 21, 21, 18, 17, 20, 24, 28,
  28, 25, 21, 15, 20, 23, 26, 27, 23, 19, 14, 17, 21, 24, 24, 21, 17, 13, 15,
  19, 20, 20, 19, 14, 10, 12, 15, 17, 17, 17, 14,  7, 10, 13, 15, 16, 16, 14,
   6,  9, 12, 15, 14, 14, 14, 14, 17, 20, 21, 22, 20, 16, 13, 16, 18, 19, 20,
  19, 14, 12, 15, 17, 17, 17, 16, 12, 11, 13, 13, 13, 14, 13,  9,  7,  9, 10,
  10, 10, 10,  9,  4,  8,  9,  9,  9,  9,  9,  5,  7,  7,  7,  8,  8,  8, 12,
  12, 13, 14, 15, 16, 11, 10, 11, 11, 12, 13, 13,  9,  9,  9, 10, 10,  9,  9,
   7,  5,  7,  6,  6,  6,  6,  5,  2,  3,  3,  3,  2,  3,  3,  3,  3,  2,  2,
   1,  1,  2,  5,  6,  4,  3,  1,  0,  1,  5,  5,  6,  8,  8, 10, 11,  4,  5,
   6,  7,  8,  8,  9,  4,  5,  5,  5,  5,  5,  5,  4,  6,  5,  5,  5,  3,  2,
   3,  8,  7,  6,  6,  4,  1,  4,  9, 10,  8,  8,  6,  2,  5,  9, 12, 10, 10,
   8,  3, 10, 12, 11, 11,  9,  9, 10, 10, 14, 13, 12, 10,  7,  7, 10, 16, 14,
  13, 10,  5,  4, 10, 15, 15, 14, 10,  6,  2, 10, 14, 17, 15, 12,  8,  3, 10,
  15, 19, 17, 13,  9,  5, 10, 15, 20, 19, 15, 11,  6, 17, 21, 19, 15, 11,  8,
   8, 17, 21, 20, 16, 12,  8,  6, 18, 21, 22, 16, 12,  8,  4, 17, 20, 22, 17,
  13,  9,  5, 17, 20, 23, 20, 15, 11,  6, 16, 20, 23, 21, 16, 13,  8, 16, 20,
  23, 23, 18, 13,  9, 19, 23, 26, 29, 30, 28, 24, 17, 21, 24, 29, 29, 26, 22,
  16, 20, 23, 27, 27, 24, 20, 14, 17, 20, 24, 26, 22, 18, 11, 14, 16, 20, 23,
  21, 18, 10, 13, 15, 19, 22, 21, 18,  8, 11, 15, 18, 21, 21, 18, 16, 20, 23,
  27, 26, 23, 20, 14, 19, 22, 26, 25, 22, 18, 13, 17, 20, 23, 23, 20, 16, 12,
  15, 17, 21, 20, 18, 14,  9, 12, 14, 17, 17, 17, 14,  8, 11, 13, 16, 16, 16,
  14,  6,  9, 12, 15, 15, 15, 14, 13, 17, 19, 20, 21, 19, 15, 12, 16, 18, 19,
  19, 18, 13, 11, 14, 16, 16, 16, 16, 11, 10, 12, 13, 12, 13, 13,  9,  6,  9,
  10, 10, 10, 10,  9,  5,  8,  9,  9,  9,  9,  9,  6,  7,  8,  8,  8,  8,  8,
  11, 11, 12, 13, 14, 15,  9,  9,  9, 10, 11, 12, 11,  7,  8,  8,  9,  9,  8,
   8,  6,  4,  6,  5,  5,  5,  5,  4,  3,  3,  3,  3,  3,  3,  2,  4,  4,  3,
   2,  2,  2,  2,  6,  8,  5,  3,  2,  1,  0,  2,  3,  5,  6,  7,  8,  9,  2,
   3,  4,  5,  6,  6,  7,  2,  3,  3,  3,  3,  4,  4,  2,  5,  3,  2,  2,  2,
   1,  3,  7,  5,  4,  4,  3,  0,  5,  8,  7,  5,  3,  3,  2,  7,  8,  8,  6,
   5,  3,  2,  6,  6,  5,  5,  6,  7,  9,  6,  8,  5,  5,  5,  5,  6,  6,  8,
   6,  5,  3,  3,  3,  6,  7,  7,  5,  4,  3,  1,  7,  9, 10,  8,  6,  3,  2,
   8, 10, 13, 11,  7,  4,  3,  9, 11, 14, 14,  9,  5,  3,  8, 11, 10,  6,  5,
   7,  7,  8, 11, 11,  7,  4,  4,  4,  8, 11, 13,  7,  4,  3,  2,  8, 11, 14,
   9,  6,  4,  3,  9, 11, 15, 13,  8,  5,  3,  9, 13, 18, 16, 11,  6,  3, 11,
  15, 18, 17, 12,  7,  4, 14, 17, 20, 24, 23, 22, 19, 13, 16, 19, 23, 23, 21,
  17, 12, 14, 17, 20, 21, 18, 16, 11, 13, 15, 17, 20, 18, 15, 11, 13, 14, 15,
  19, 17, 15,  9, 11, 13, 15, 17, 17, 15, 12, 12, 12, 14, 16, 17, 15, 12, 15,
  17, 20, 21, 19, 16, 11, 13, 16, 19, 21, 18, 14, 11, 13, 15, 17, 18, 16, 13,
   9, 12, 14, 15, 15, 14, 13,  9, 11, 13, 14, 14, 14, 13,  7, 10, 11, 13, 13,
  13, 13, 14, 14, 11, 12, 12, 12, 12, 10, 13, 14, 15, 16, 15, 12,  9, 12, 13,
  13, 15, 14, 11,  8, 11, 12, 12, 12, 13, 11,  7, 10, 11, 11, 12, 11, 11,  6,
   9, 11, 11, 11, 11, 11,  9, 10, 10,  9, 10, 11, 11, 15, 16, 12,  9,  9, 10,
  11,  8,  8,  9, 10, 10, 11,  4,  7,  7,  8,  8,  8,  9,  5,  6,  6,  6,  7,
   7,  7,  4,  4,  5,  5,  6,  6,  6,  4,  4,  4,  4,  5,  5,  5,  4,  9, 11,
  10,  8,  6,  3,  3, 15, 16, 12,  9,  7,  4,  2,  0,  1,  1,  2,  2,  2,  4,
   2,  2,  2,  2,  2,  1,  5,  2,  3,  3,  3,  4,  2,  4,  2,  6,  5,  6,  6,
   5,  2,  4,  9,  8,  7,  7,  7,  3,  9, 11, 11,  9,  9,  8,  4, 14, 14, 13,
  10,  9,  8,  6,  8,  8,  8,  8,  7,  2,  3,  8, 10,  9,  9,  7,  3,  2,  7,
  11, 10,  9,  8,  5,  0,  8, 10, 11, 10,  8,  7,  4,  8, 11, 14, 13, 11,  8,
   6, 10, 13, 17, 15, 12,  9,  7, 12, 15, 17, 16, 13, 10,  8, 12, 16, 14, 11,
   8,  6,  2, 12, 16, 16, 12,  9,  6,  2, 12, 16, 18, 12,  9,  7,  4, 12, 15,
  19, 14, 11,  8,  7, 12, 16, 19, 17, 13, 10,  7, 13, 17, 20, 19, 15, 11,  8,
  15, 18, 20, 21, 16, 12,  9, 15, 17, 19, 20, 21, 18, 17, 14, 16, 18, 20, 20,
  19, 17, 12, 15, 18, 19, 20, 18, 17, 11, 14, 17, 18, 20, 19, 17, 11, 14, 17,
  19, 21, 19, 17, 10, 14, 16, 18, 20, 19, 17, 13, 13, 15, 18, 20, 19, 17, 13,
  15, 18, 19, 18, 16, 14, 12, 15, 17, 19, 18, 16, 14, 11, 14, 16, 17, 17, 16,
  14,  9, 13, 16, 17, 17, 17, 15,  9, 12, 15, 17, 17, 17, 15,  8, 11, 14, 16,
  16, 16, 15, 16, 14, 13, 15, 15, 15, 15, 10, 14, 14, 15, 15, 13, 10,  9, 12,
  14, 14, 14, 13, 10,  8, 11, 12, 13, 13, 13, 10,  7, 11, 12, 12, 13, 13, 11,
   7, 10, 11, 12, 12, 12, 11, 10, 11, 10, 11, 11, 11, 11, 17, 17, 12, 10, 10,
  10, 10,  8,  8,  8,  9,  9,  9,  3,  7,  7,  7,  7,  8,  8,  3,  6,  6,  6,
   6,  6,  6,  4,  4,  5,  5,  6,  6,  6,  4,  6,  6,  5,  5,  5,  5,  4, 10,
  12, 10,  9,  6,  5,  3, 17, 19, 14, 10,  7,  5,  3,  1,  0,  1,  1,  2,  2,
   3,  2,  2,  1,  2,  2,  1,  3,  2,  3,  3,  3,  3,  1,  3,  2,  7,  6,  6,
   6,  5,  3,  5, 11, 10, 10, 11,  8,  3, 10, 14, 16, 15, 13, 10,  5, 16, 19,
  20, 16, 15, 12,  7,  9, 10, 10, 10,  7,  2,  2,  8, 12, 12, 11,  8,  3,  2,
   8, 14, 14, 14,  9,  5,  1,  8, 15, 17, 17, 13,  9,  5, 11, 17, 22, 21, 17,
  12,  7, 14, 20, 26, 25, 20, 15,  9, 18, 23, 27, 25, 21, 17, 11, 17, 22, 21,
  15, 10,  5,  1, 16, 22, 24, 17, 12,  6,  2, 16, 22, 25, 18, 13,  9,  4, 16,
  22, 27, 22, 17, 13,  9, 18, 24, 29, 26, 21, 17, 11, 20, 26, 30, 29, 23, 18,
  13, 23, 28, 30, 30, 25, 21, 15, 14, 17, 20, 22, 23, 20, 18, 13, 16, 19, 22,
  23, 20, 18, 12, 15, 18, 21, 23, 20, 18, 11, 14, 17, 21, 23, 22, 19, 12, 14,
  18, 20, 24, 23, 19, 11, 14, 17, 20, 23, 22, 19, 14, 14, 16, 19, 22, 21, 19,
  12, 15, 18, 21, 19, 17, 14, 11, 14, 18, 19, 19, 16, 14, 10, 13, 16, 19, 18,
  17, 15,  9, 13, 16, 18, 18, 18, 16, 10, 13, 15, 18, 18, 18, 15, 10, 11, 15,
  17, 18, 18, 16, 17, 16, 14, 16, 17, 16, 16, 10, 13, 15, 15, 15, 13,  9,  9,
  12, 13, 13, 14, 12,  9,  8, 11, 12, 12, 12, 13, 10,  8, 11, 12, 12, 12, 13,
  11,  7, 10, 12, 12, 12, 12, 11, 12, 12, 11, 11, 11, 11, 11, 19, 18, 14, 10,
  10, 10, 10,  8,  8,  8,  8,  8,  8,  2,  7,  7,  7,  7,  7,  7,  2,  6,  6,
   6,  6,  6,  6,  3,  4,  6,  6,  6,  6,  6,  4,  6,  7,  6,  6,  6,  5,  4,
  12, 13, 12, 10,  8,  6,  4, 19, 20, 15, 11,  8,  6,  5,  1,  1,  0,  1,  1,
   1,  2,  2,  2,  2,  1,  2,  1,  2,  2,  4,  3,  4,  4,  2,  3,  2,  7,  7,
   7,  7,  6,  4,  6, 12, 12, 11, 11,  9,  5, 11, 15, 17, 16, 14, 11,  6, 18,
  21, 20, 17, 16, 13,  7,  9, 11,  9,  9,  6,  2,  2,  9, 13, 11, 11,  7,  3,
   1,  9, 14, 14, 14, 10,  6,  2,  9, 16, 18, 17, 14, 10,  6, 12, 18, 23, 21,
  18, 13,  7, 15, 21, 28, 26, 20, 15,  9, 19, 25, 29, 27, 23, 17, 11, 16, 22,
  21, 15,  9,  5,  1, 17, 22, 23, 16, 11,  6,  2, 16, 22, 26, 19, 13,  9,  5,
  16, 23, 29, 23, 18, 14, 10, 18, 25, 31, 28, 22, 17, 11, 22, 28, 33, 33, 26,
  19, 13, 25, 30, 34, 34, 28, 21, 15, 14, 17, 21, 23, 24, 20, 18, 14, 16, 19,
  23, 24, 21, 18, 12, 15, 18, 22, 23, 22, 19, 11, 15, 18, 22, 25, 23, 20, 12,
  15, 18, 22, 26, 23, 20, 11, 14, 17, 21, 25, 23, 20, 16, 15, 17, 20, 23, 22,
  19, 12, 15, 18, 20, 20, 17, 14, 12, 14, 17, 20, 19, 17, 14, 10, 13, 17, 19,
  19, 18, 15,  9, 13, 17, 20, 19, 18, 16, 10, 13, 16, 18, 19, 19, 16, 11, 12,
  15, 18, 18, 18, 16, 18, 17, 15, 17, 17, 17, 16, 10, 13, 14, 15, 15, 12,  9,
   9, 12, 13, 13, 14, 12,  9,  9, 11, 13, 13, 13, 13, 10,  8, 11, 13, 13, 13,
  14, 11,  7, 10, 12, 12, 12, 12, 11, 13, 13, 13, 12, 12, 11, 11, 20, 19, 15,
  12, 10, 11, 10,  9,  8,  8,  8,  8,  8,  2,  8,  7,  7,  7,  7,  6,  2,  6,
   6,  6,  7,  6,  6,  3,  4,  6,  6,  6,  6,  6,  5,  6,  8,  8,  8,  8,  6,
   5, 13, 15, 13, 11,  9,  7,  5, 21, 21, 16, 12,  9,  7,  6,  2,  1,  1,  0,
   1,  1,  2,  3,  2,  2,  2,  2,  0,  2,  2,  4,  4,  4,  4,  3,  3,  2,  8,
   8,  8,  8,  7,  5,  7, 13, 12, 12, 13, 10,  6, 13, 17, 18, 17, 14, 12,  7,
  19, 22, 22, 19, 17, 14,  8,  9, 11,  9,  9,  6,  2,  2, 10, 12, 11, 11,  7,
   3,  2, 10, 15, 14, 14, 11,  6,  3,  9, 17, 18, 18, 15, 10,  7, 13, 19, 24,
  22, 18, 13,  8, 16, 22, 29, 27, 21, 16, 10, 21, 26, 30, 30, 25, 17, 12, 17,
  22, 20, 14,  9,  5,  1, 17, 22, 23, 16, 11,  6,  3, 17, 22, 25, 19, 14, 10,
   6, 17, 24, 29, 24, 18, 14, 10, 20, 26, 31, 29, 23, 18, 12, 23, 30, 35, 33,
  26, 19, 14, 25, 32, 35, 36, 28, 22, 16, 15, 18, 21, 24, 24, 21, 18, 14, 17,
  19, 23, 24, 22, 19, 12, 15, 19, 23, 25, 23, 20, 11, 16, 19, 22, 26, 24, 20,
  12, 16, 19, 23, 26, 24, 21, 12, 15, 18, 22, 26, 24, 21, 17, 17, 18, 20, 24,
  24, 21, 12, 16, 19, 22, 20, 17, 14, 12, 15, 18, 20, 20, 17, 15, 10, 14, 17,
  20, 20, 19, 16, 10, 14, 17, 20, 20, 19, 16, 10, 14, 17, 19, 20, 20, 17, 12,
  14, 16, 19, 19, 19, 17, 20, 18, 16, 18, 18, 18, 17, 10, 14, 15, 14, 15, 13,
   9, 10, 12, 13, 14, 14, 13, 10,  9, 12, 13, 14, 14, 14, 11,  9, 12, 14, 14,
  14, 14, 12,  8, 11, 13, 13, 13, 13, 12, 14, 14, 14, 13, 13, 12, 12, 22, 20,
  16, 12, 11, 11, 10,  9,  8,  8,  8,  8,  8,  2,  9,  7,  7,  7,  7,  7,  3,
   6,  6,  6,  7,  7,  7,  4,  6,  6,  7,  7,  7,  7,  6,  7,  8,  9,  9,  9,
   8,  6, 14, 16, 14, 12, 10,  8,  6, 22, 22, 17, 13, 10,  8,  7,  2,  2,  1,
   1,  0,  1,  2,  3,  2,  2,  2,  2,  1,  3,  3,  4,  4,  5,  5,  4,  3,  3,
   8,  8,  9,  9,  7,  6,  7, 14, 13, 13, 13, 11,  7, 14, 18, 19, 18, 15, 12,
   8, 20, 23, 23, 19, 18, 14,  9, 10, 10,  9,  8,  5,  2,  2, 10, 12, 10,  9,
   7,  4,  2, 10, 13, 12, 13, 10,  7,  4, 10, 15, 17, 16, 15, 11,  7, 13, 19,
  23, 21, 18, 14,  9, 17, 23, 28, 26, 20, 16, 11, 21, 27, 29, 28, 23, 18, 13,
  15, 17, 14, 10,  8,  4,  1, 15, 17, 15, 11,  9,  7,  3, 15, 17, 18, 15, 13,
  11,  7, 15, 19, 23, 20, 17, 15, 11, 18, 23, 27, 25, 22, 18, 13, 23, 27, 31,
  30, 24, 19, 15, 27, 30, 32, 32, 26, 21, 17, 13, 16, 20, 23, 23, 20, 17, 13,
  16, 18, 22, 23, 21, 19, 12, 14, 18, 22, 25, 22, 19, 11, 15, 19, 22, 26, 23,
  20, 12, 15, 18, 21, 25, 23, 20, 12, 15, 18, 21, 25, 23, 20, 18, 18, 17, 20,
  23, 23, 20, 12, 15, 17, 20, 18, 15, 13, 11, 14, 17, 19, 19, 17, 14, 10, 13,
  16, 19, 20, 17, 15,  9, 12, 16, 20, 19, 18, 16,  9, 13, 16, 19, 20, 19, 16,
  13, 14, 16, 18, 18, 18, 15, 21, 19, 17, 17, 17, 17, 16, 10, 13, 13, 13, 14,
  11,  8,  9, 12, 12, 12, 13, 12,  9,  8, 11, 12, 13, 13, 13, 10,  7, 11, 12,
  13, 13, 13, 11,  7, 11, 12, 13, 13, 13, 11, 15, 16, 15, 13, 12, 12, 11, 23,
  22, 17, 14, 11, 10, 10,  8,  7,  7,  7,  7,  7,  2,  7,  6,  6,  6,  6,  6,
   2,  4,  5,  5,  6,  6,  6,  4,  8,  5,  6,  6,  6,  7,  6,  8,  9, 10, 10,
  10,  9,  7, 15, 17, 16, 14, 11,  9,  8, 23, 24, 18, 15, 12, 10,  8,  2,  2,
   2,  1,  1,  0,  2,  4,  2,  2,  2,  2,  2,  2,  4,  3,  3,  4,  5,  5,  4,
   4,  7,  7,  8,  8,  8,  8,  8, 13, 13, 13, 13, 11,  8, 15, 19, 19, 17, 14,
  12,  9, 22, 24, 22, 18, 15, 13, 10,  6,  6,  4,  3,  3,  2,  1,  6,  7,  5,
   4,  3,  3,  2,  6,  9,  6,  7,  6,  6,  6,  6, 11, 12, 12, 11, 10,  9, 11,
  15, 19, 17, 15, 13, 10, 17, 21, 25, 22, 17, 13, 11, 22, 25, 26, 24, 19, 15,
  12, 10, 12,  8,  5,  3,  2,  2, 10, 12, 10,  6,  4,  4,  4, 10, 12, 13,  9,
   9,  8,  7, 10, 14, 18, 16, 13, 12, 10, 14, 18, 23, 22, 18, 15, 12, 19, 23,
  27, 27, 21, 16, 13, 24, 27, 28, 29, 23, 18, 13,  9, 11, 13, 15, 16, 13, 11,
   9, 11, 12, 15, 16, 14, 12,  8, 10, 12, 16, 18, 15, 13,  7, 10, 13, 16, 19,
  17, 15,  8, 11, 14, 17, 20, 17, 14, 11, 13, 15, 16, 19, 17, 14, 18, 18, 16,
  16, 18, 17, 15,  8, 10, 11, 14, 11,  9,  7,  7,  9, 11, 13, 12, 10,  8,  7,
   8, 11, 14, 13, 11, 10,  6,  9, 12, 14, 13, 12, 11,  6, 10, 12, 14, 14, 13,
  11, 13, 14, 15, 16, 14, 13, 11, 21, 19, 17, 15, 13, 12, 11,  7,  9,  8,  7,
   7,  5,  3,  6,  8,  8,  7,  7,  7,  5,  5,  7,  7,  8,  8,  8,  6,  3,  7,
   8,  9,  9,  9,  8,  7, 10, 10, 10, 10,  9,  8, 16, 16, 15, 13, 11,  9,  8,
  23, 22, 18, 14, 12, 10,  8,  5,  4,  3,  3,  3,  2,  0,  3,  2,  3,  2,  2,
   3,  2,  6,  2,  2,  3,  3,  3,  4, 10,  3,  5,  6,  6,  6,  6,  9, 10, 10,
  10, 10,  9,  7, 16, 18, 16, 14, 12, 10,  8, 23, 24, 19, 15, 12, 11,  9,  4,
   3,  2,  2,  2,  2,  0,  6,  4,  3,  2,  2,  3,  2,  6,  4,  4,  5,  5,  5,
   5,  6,  8,  8,  9, 10,  9,  8,  9, 15, 15, 15, 15, 12,  9, 15, 21, 21, 19,
  16, 14, 10, 22, 25, 25, 21, 18, 15, 11,  8,  7,  5,  5,  3,  2,  1,  8, 10,
   7,  6,  4,  4,  3,  8, 11, 10, 11,  9,  7,  6,  8, 13, 16, 16, 15, 12, 10,
  12, 19, 23, 22, 19, 16, 11, 18, 24, 30, 27, 22, 16, 13, 23, 28, 31, 30, 24,
  18, 14, 12, 16, 14,  8,  5,  3,  2, 13, 16, 16, 10,  6,  5,  4, 12, 16, 19,
  15, 12, 10,  8, 13, 18, 25, 21, 18, 15, 12, 17, 23, 29, 28, 23, 19, 14, 22,
  27, 33, 33, 26, 20, 16, 27, 32, 34, 34, 28, 23, 17, 16, 19, 23, 26, 26, 25,
  22, 15, 19, 22, 25, 26, 23, 21, 14, 17, 20, 23, 24, 22, 19, 13, 15, 17, 20,
  22, 20, 18, 12, 14, 16, 18, 21, 19, 18, 10, 12, 15, 17, 20, 20, 18, 10, 11,
  13, 16, 19, 20, 18, 14, 17, 20, 24, 24, 23, 18, 13, 16, 19, 22, 24, 22, 17,
  12, 14, 18, 20, 20, 18, 15, 11, 13, 15, 17, 18, 16, 14, 10, 12, 14, 15, 16,
  17, 14,  8, 11, 13, 14, 15, 15, 15, 11, 11, 12, 13, 14, 15, 14, 12, 14, 16,
  17, 19, 19, 14, 11, 13, 15, 16, 16, 17, 13, 10, 12, 14, 14, 15, 15, 12,  9,
  12, 12, 12, 12, 13, 12,  7, 10, 12, 12, 11, 12, 12,  8,  9, 10, 10, 11, 11,
  12, 12, 12, 10,  9, 10, 11, 12, 10, 10, 11, 11, 12, 14,  6,  8,  9,  9, 10,
  10, 11,  6,  7,  7,  8,  8,  9,  9,  5,  4,  6,  7,  7,  7,  7,  6,  5,  5,
   5,  6,  6,  7,  4,  8,  8,  7,  6,  5,  5,  4, 12, 12,  8,  6,  5,  4,  2,
   2,  2,  2,  2,  3,  4,  6,  0,  1,  1,  2,  1,  2,  5,  0,  2,  2,  1,  1,
   1,  4,  0,  2,  2,  1,  1,  1,  4,  2,  4,  3,  3,  4,  2,  2,  5,  7,  7,
   6,  5,  3,  2,  9, 10,  9,  7,  6,  4,  2,  4,  5,  5,  5,  3,  2,  4,  4,
   6,  6,  6,  3,  1,  3,  4,  7,  7,  6,  4,  1,  2,  4,  7,  8,  7,  5,  3,
   2,  4,  8, 10,  9,  7,  4,  2,  6, 10, 14, 11,  9,  6,  2,  9, 12, 14, 13,
  10,  6,  3,  9, 12, 11,  8,  5,  2,  2,  9, 12, 12,  8,  5,  2,  1,  9, 12,
  14,  9,  6,  3,  1,  9, 12, 15, 10,  7,  5,  2,  9, 12, 15, 13, 10,  7,  4,
  10, 13, 17, 16, 11,  8,  5, 12, 15, 16, 17, 13,  9,  6, 16, 19, 20, 22, 22,
  20, 18, 15, 18, 20, 21, 22, 20, 17, 14, 16, 18, 21, 22, 19, 18, 13, 15, 19,
  20, 22, 20, 18, 13, 16, 18, 20, 22, 21, 19, 11, 15, 18, 19, 21, 20, 18, 12,
  13, 17, 19, 20, 20, 18, 14, 17, 19, 21, 19, 18, 16, 13, 16, 18, 20, 19, 18,
  16, 12, 15, 17, 19, 18, 17, 16, 11, 14, 17, 18, 17, 18, 16, 11, 14, 17, 19,
  18, 18, 17,  9, 12, 15, 17, 18, 18, 16, 15, 14, 14, 16, 16, 17, 16, 12, 15,
  16, 16, 16, 15, 12, 11, 14, 15, 15, 15, 15, 12, 10, 13, 14, 14, 15, 15, 12,
   9, 12, 14, 13, 14, 14, 12,  8, 11, 13, 13, 13, 13, 12, 10, 10, 11, 12, 13,
  13, 12, 17, 16, 12, 10, 11, 11, 12, 10,  9, 10, 10, 10, 11,  4,  9,  8,  9,
   9,  9,  9,  4,  7,  7,  7,  8,  8,  8,  5,  5,  7,  7,  7,  7,  7,  6,  6,
   6,  6,  6,  6,  6,  5, 10, 11, 10,  9,  6,  5,  4, 17, 18, 13, 10,  7,  5,
   3,  2,  2,  2,  2,  2,  2,  4,  1,  0,  1,  1,  1,  2,  4,  1,  2,  2,  2,
   1,  0,  4,  1,  5,  5,  5,  5,  4,  3,  4,  9,  9,  9,  9,  7,  3,  9, 13,
  15, 14, 12,  9,  4, 16, 18, 18, 15, 14, 11,  5,  7,  9,  8,  9,  5,  1,  3,
   7, 11, 10, 10,  7,  2,  3,  7, 13, 13, 12,  8,  3,  2,  7, 13, 15, 15, 12,
   7,  4,  9, 16, 19, 18, 16, 11,  5, 12, 18, 22, 20, 17, 13,  7, 17, 21, 23,
  22, 18, 15,  9, 15, 20, 18, 14,  9,  4,  2, 15, 19, 20, 15, 11,  5,  1, 15,
  19, 21, 16, 12,  7,  3, 15, 20, 23, 19, 16, 12,  7, 16, 21, 24, 22, 18, 15,
   9, 18, 22, 25, 24, 20, 16, 12, 21, 23, 26, 25, 21, 18, 13, 16, 19, 21, 24,
  24, 22, 19, 15, 18, 20, 23, 25, 21, 19, 13, 17, 20, 23, 24, 21, 20, 13, 16,
  19, 22, 24, 22, 20, 13, 16, 19, 22, 25, 23, 20, 12, 15, 18, 21, 24, 23, 21,
  13, 14, 17, 20, 23, 24, 21, 13, 17, 20, 22, 21, 18, 16, 12, 16, 18, 21, 20,
  18, 15, 12, 14, 17, 20, 20, 18, 16, 10, 14, 17, 21, 19, 19, 17, 11, 14, 17,
  19, 20, 20, 17,  9, 13, 16, 18, 19, 19, 17, 16, 15, 15, 18, 17, 18, 17, 11,
  14, 16, 16, 16, 14, 11, 10, 13, 15, 15, 15, 14, 11, 10, 12, 14, 13, 14, 14,
  11,  9, 12, 14, 14, 14, 14, 12,  8, 11, 13, 13, 13, 13, 12, 11, 11, 12, 12,
  12, 12, 12, 18, 17, 13, 11, 11, 11, 11, 10,  9,  9,  9, 10,  9,  3,  9,  8,
   8,  8,  8,  8,  3,  8,  7,  7,  7,  7,  7,  3,  5,  7,  7,  7,  7,  7,  5,
   6,  6,  6,  6,  6,  6,  4, 11, 13, 11,  9,  7,  5,  4, 18, 20, 14, 10,  8,
   6,  4,  2,  1,  2,  2,  2,  2,  3,  1,  1,  0,  1,  1,  1,  3,  1,  2,  2,
   2,  2,  1,  3,  1,  6,  6,  6,  6,  5,  4,  5, 10, 10, 10, 10,  8,  4, 11,
  14, 16, 14, 12,  9,  5, 17, 19, 19, 16, 14, 12,  6,  7,  9,  8,  8,  5,  1,
   2,  7, 11, 10, 10,  6,  2,  2,  7, 13, 12, 12,  8,  4,  2,  8, 14, 16, 16,
  12,  8,  5, 10, 17, 21, 20, 16, 11,  6, 13, 20, 26, 25, 19, 13,  8, 17, 23,
  26, 27, 22, 16,  9, 15, 20, 19, 13,  8,  4,  1, 16, 21, 22, 15, 10,  5,  0,
  15, 20, 24, 17, 12,  8,  4, 15, 22, 27, 21, 16, 12,  8, 17, 24, 29, 27, 21,
  15, 10, 20, 26, 31, 32, 24, 18, 12, 23, 29, 33, 33, 26, 19, 14, 16, 19, 22,
  25, 25, 22, 20, 15, 18, 21, 25, 25, 22, 19, 13, 16, 20, 23, 26, 22, 21, 13,
  16, 19, 23, 26, 24, 21, 13, 16, 19, 22, 26, 25, 21, 12, 16, 19, 22, 25, 24,
  22, 15, 15, 17, 21, 25, 25, 21, 14, 16, 20, 22, 21, 19, 15, 13, 15, 19, 21,
  21, 19, 15, 12, 14, 17, 20, 21, 19, 17, 11, 15, 18, 21, 21, 20, 17, 12, 14,
  17, 20, 20, 21, 17, 11, 13, 16, 19, 20, 19, 17, 18, 16, 15, 18, 18, 18, 17,
  12, 14, 16, 16, 17, 14, 11, 11, 13, 15, 15, 15, 14, 10, 10, 12, 14, 15, 14,
  15, 11,  9, 13, 14, 14, 15, 15, 12,  9, 12, 13, 14, 14, 14, 12, 12, 13, 12,
  12, 12, 13, 12, 19, 18, 14, 11, 12, 12, 11, 10,  9,  9,  9,  9,  9,  2,  9,
   8,  8,  8,  8,  8,  2,  8,  7,  7,  8,  7,  8,  3,  5,  7,  7,  7,  7,  7,
   6,  7,  7,  7,  7,  7,  7,  4, 13, 14, 13, 11,  8,  6,  5, 19, 21, 16, 12,
   9,  7,  5,  2,  2,  1,  2,  2,  2,  2,  2,  1,  1,  0,  1,  1,  3,  2,  2,
   2,  3,  3,  2,  3,  2,  6,  6,  6,  7,  5,  5,  6, 12, 11, 11, 11,  8,  5,
  12, 16, 17, 15, 13, 10,  6, 18, 21, 20, 17, 15, 12,  7,  8,  9,  8,  8,  5,
   1,  2,  8, 11, 10,  9,  6,  2,  2,  8, 13, 13, 13,  9,  5,  3,  8, 15, 17,
  17, 13,  9,  6, 11, 18, 22, 21, 17, 12,  7, 14, 20, 26, 26, 19, 14,  9, 19,
  24, 28, 28, 22, 16, 10, 15, 21, 19, 13,  8,  3,  1, 15, 20, 21, 15,  9,  5,
   1, 15, 21, 24, 18, 13,  9,  5, 15, 22, 28, 23, 17, 13,  9, 18, 24, 30, 27,
  21, 16, 11, 20, 27, 32, 32, 24, 18, 12, 24, 30, 34, 34, 27, 20, 14, 16, 19,
  23, 26, 26, 23, 20, 15, 18, 21, 25, 26, 23, 20, 14, 17, 20, 23, 25, 24, 22,
  13, 17, 20, 24, 26, 25, 22, 14, 17, 20, 24, 27, 25, 21, 12, 16, 18, 23, 27,
  25, 22, 16, 16, 18, 22, 25, 25, 22, 14, 17, 20, 23, 22, 19, 16, 13, 16, 19,
  22, 22, 18, 16, 12, 15, 18, 21, 20, 20, 17, 11, 15, 18, 22, 21, 20, 17, 12,
  15, 18, 20, 21, 21, 17, 11, 14, 17, 20, 20, 20, 18, 18, 17, 16, 19, 18, 19,
  17, 12, 15, 15, 16, 17, 15, 11, 11, 14, 15, 15, 15, 14, 11, 10, 13, 14, 15,
  15, 15, 12, 10, 13, 15, 15, 15, 15, 12,  9, 13, 14, 14, 14, 14, 12, 13, 14,
  14, 13, 13, 13, 12, 20, 19, 15, 12, 12, 12, 12, 10,  9,  9,  9, 10, 10,  3,
   9,  8,  8,  8,  8,  8,  3,  8,  8,  8,  8,  8,  8,  3,  5,  7,  8,  8,  8,
   8,  6,  7,  8,  8,  8,  8,  7,  4, 13, 15, 13, 11,  9,  7,  5, 20, 21, 16,
  12, 10,  8,  6,  2,  2,  2,  2,  2,  2,  2,  1,  1,  1,  1,  0,  2,  3,  1,
   2,  3,  3,  3,  2,  3,  1,  6,  7,  7,  7,  6,  5,  6, 11, 11, 11, 11,  8,
   6, 12, 17, 18, 16, 13, 10,  7, 19, 21, 21, 17, 16, 12,  7,  8,  9,  8,  7,
   4,  1,  2,  8, 11,  9,  8,  6,  2,  2,  8, 12, 11, 12,  9,  5,  3,  8, 14,
  16, 15, 13,  9,  6, 11, 17, 21, 20, 18, 13,  7, 15, 21, 27, 25, 19, 14,  9,
  20, 24, 28, 26, 21, 16, 11, 14, 16, 14, 10,  7,  3,  1, 13, 16, 15, 11,  9,
   5,  2, 14, 16, 18, 14, 12,  9,  5, 14, 18, 23, 19, 16, 12,  9, 17, 22, 25,
  24, 20, 16, 11, 21, 25, 29, 29, 23, 18, 13, 24, 29, 31, 30, 25, 19, 14, 15,
  18, 21, 26, 25, 22, 18, 14, 17, 20, 24, 25, 22, 19, 13, 16, 19, 23, 24, 23,
  19, 12, 15, 19, 23, 25, 23, 20, 13, 15, 19, 22, 26, 24, 21, 11, 14, 17, 21,
  25, 24, 20, 16, 15, 16, 20, 23, 23, 21, 13, 16, 18, 22, 21, 19, 15, 12, 15,
  17, 21, 21, 17, 14, 11, 14, 17, 20, 19, 18, 15, 10, 13, 17, 20, 20, 19, 16,
  10, 14, 16, 19, 19, 19, 16, 11, 13, 16, 18, 18, 18, 16, 18, 17, 16, 17, 16,
  17, 16, 11, 14, 15, 15, 16, 14, 10, 10, 12, 13, 13, 14, 13,  9,  9, 11, 13,
  14, 13, 13, 10,  8, 12, 13, 13, 13, 13, 11,  7, 11, 12, 12, 12, 13, 11, 14,
  14, 13, 12, 11, 11, 11, 20, 19, 15, 12, 10, 10, 10,  9,  8,  8,  8,  9,  9,
   3,  8,  7,  7,  7,  7,  7,  2,  6,  6,  6,  7,  6,  6,  2,  5,  6,  6,  6,
   6,  6,  5,  7,  8,  8,  8,  8,  7,  5, 14, 16, 13, 11,  9,  7,  5, 21, 22,
  16, 12, 10,  8,  6,  1,  1,  1,  0,  1,  2,  3,  2,  2,  1,  1,  2,  0,  2,
   2,  3,  3,  4,  3,  3,  3,  2,  6,  6,  6,  6,  6,  5,  7, 12, 11, 10, 10,
   8,  6, 13, 16, 17, 14, 11,  9,  7, 19, 21, 20, 15, 13, 10,  7,  6,  6,  4,
   3,  3,  2,  2,  6,  7,  5,  4,  3,  2,  2,  6,  9,  6,  6,  4,  4,  3,  6,
  10, 10,  9,  8,  7,  7,  9, 13, 16, 14, 13, 10,  8, 14, 19, 22, 19, 14, 11,
   9, 19, 22, 23, 21, 16, 12,  9, 10, 11,  8,  5,  3,  2,  1, 10, 12, 10,  5,
   4,  3,  2, 10, 12, 12,  8,  7,  5,  5, 10, 13, 16, 13, 10,  9,  8, 12, 15,
  20, 19, 15, 12,  9, 16, 20, 24, 24, 17, 13, 10, 20, 24, 25, 25, 19, 14, 11,
   9, 11, 14, 17, 17, 14, 11,  9, 11, 13, 16, 17, 13, 11,  8, 10, 12, 15, 17,
  15, 12,  8, 10, 13, 16, 18, 16, 14,  8, 11, 13, 16, 19, 16, 13, 10, 11, 13,
  15, 18, 17, 13, 16, 15, 14, 15, 17, 17, 13,  8, 10, 12, 14, 13, 11,  7,  8,
   9, 11, 13, 13,  9,  7,  7,  8, 11, 13, 12, 10,  8,  6,  9, 12, 14, 13, 12,
   9,  6,  9, 11, 13, 13, 12, 10, 12, 12, 13, 13, 12, 12, 10, 19, 17, 14, 13,
  11, 11, 10,  7,  9,  8,  8,  9,  7,  4,  6,  8,  8,  7,  7,  6,  4,  5,  8,
   7,  8,  7,  7,  5,  4,  7,  8,  8,  7,  7,  6,  7,  9,  9,  8,  8,  8,  6,
  14, 14, 13, 11,  9,  7,  6, 21, 19, 15, 12,  9,  7,  6,  5,  4,  3,  3,  3,
   4,  2,  3,  3,  3,  3,  2,  2,  0,  3,  2,  2,  3,  2,  2,  2,  7,  3,  4,
   5,  4,  4,  4,  8,  9,  9,  8,  8,  7,  5, 14, 16, 14, 12, 10,  8,  6, 21,
  22, 16, 13, 10,  9,  7,  5,  3,  2,  2,  3,  2,  2,  5,  4,  3,  2,  3,  2,
   0,  5,  5,  4,  4,  4,  4,  3,  5,  8,  8,  8,  8,  8,  6,  9, 14, 14, 13,
  13, 10,  7, 14, 18, 19, 18, 14, 11,  8, 20, 22, 23, 19, 16, 13,  9,  9,  9,
   7,  6,  4,  3,  2,  8, 10,  8,  7,  5,  3,  2,  9, 12, 11, 11,  9,  6,  4,
   9, 14, 16, 16, 13, 10,  8, 12, 18, 22, 20, 18, 14,  9, 16, 22, 28, 26, 20,
  15, 10, 21, 26, 29, 28, 22, 17, 12, 14, 18, 15, 10,  6,  3,  2, 13, 17, 18,
  12,  8,  5,  3, 13, 17, 20, 15, 12,  9,  6, 14, 19, 25, 21, 16, 14, 10, 18,
  23, 28, 26, 21, 17, 12, 21, 27, 32, 32, 25, 19, 14, 26, 30, 32, 33, 26, 21,
  15, 16, 19, 23, 26, 26, 25, 23, 15, 18, 21, 25, 26, 23, 21, 14, 17, 20, 23,
  24, 22, 19, 13, 15, 17, 20, 22, 20, 18, 12, 14, 15, 18, 21, 20, 18, 11, 12,
  14, 17, 20, 20, 17, 10, 11, 13, 16, 19, 20, 18, 13, 17, 21, 24, 24, 23, 18,
  13, 15, 19, 22, 24, 21, 17, 12, 14, 17, 20, 21, 18, 15, 10, 13, 15, 17, 17,
  17, 15, 10, 12, 14, 15, 15, 17, 14,  8, 11, 13, 15, 15, 15, 14, 11, 11, 12,
  14, 14, 15, 14, 12, 14, 16, 18, 19, 19, 15, 11, 13, 15, 16, 17, 17, 13, 10,
  13, 13, 15, 14, 15, 12,  9, 12, 12, 12, 13, 13, 12,  7, 10, 11, 11, 11, 12,
  12,  8,  9,  9, 10, 11, 11, 12, 12, 12, 10,  9, 10, 11, 12, 10, 10, 10, 11,
  13, 13,  6,  8,  9,  9, 10, 10, 10,  5,  7,  7,  8,  8,  9,  9,  5,  4,  6,
   6,  7,  7,  7,  6,  5,  5,  6,  6,  6,  7,  5,  8,  8,  7,  6,  5,  5,  4,
  12, 12,  8,  6,  5,  4,  2,  2,  2,  2,  3,  3,  4,  6,  0,  1,  1,  2,  1,
   2,  5,  0,  2,  2,  1,  1,  1,  5,  0,  2,  2,  1,  2,  1,  3,  2,  4,  4,
   3,  4,  2,  2,  5,  7,  7,  6,  5,  3,  2,  9, 10, 10,  7,  6,  4,  2,  4,
   5,  4,  5,  3,  2,  4,  4,  6,  6,  6,  3,  1,  3,  4,  7,  7,  6,  4,  1,
   2,  4,  7,  8,  7,  5,  3,  2,  4,  8, 10,  9,  7,  4,  2,  6, 10, 13, 12,
   9,  6,  2,  9, 12, 14, 13, 10,  7,  3,  9, 12, 11,  8,  5,  2,  2,  9, 12,
  13,  8,  5,  2,  1,  9, 13, 14,  9,  6,  3,  1,  9, 12, 15, 10,  7,  5,  2,
   9, 12, 15, 13, 10,  7,  3, 10, 14, 17, 16, 11,  8,  5, 12, 15, 17, 17, 13,
   9,  6, 18, 19, 22, 24, 24, 22, 19, 17, 20, 21, 24, 24, 22, 19, 15, 18, 20,
  22, 24, 22, 20, 15, 18, 20, 21, 23, 22, 19, 14, 17, 19, 21, 24, 22, 21, 13,
  16, 19, 21, 23, 22, 20, 12, 14, 17, 20, 22, 22, 20, 15, 18, 20, 23, 22, 20,
  17, 14, 17, 20, 22, 20, 19, 17, 13, 17, 19, 21, 21, 18, 18, 12, 16, 18, 20,
  19, 18, 17, 12, 15, 18, 19, 19, 20, 18, 11, 13, 17, 19, 18, 19, 17, 14, 13,
  15, 17, 18, 18, 18, 13, 17, 17, 18, 18, 17, 14, 12, 15, 16, 16, 17, 16, 13,
  11, 14, 16, 16, 16, 17, 14, 10, 13, 15, 15, 16, 16, 14,  9, 12, 14, 14, 15,
  15, 14,  9, 11, 12, 13, 13, 14, 14, 16, 16, 12, 12, 13, 13, 13, 11, 11, 12,
  12, 12, 13,  4, 10, 10, 11, 11, 11, 11,  5,  9,  9,  9,  9, 10, 10,  5,  5,
   8,  8,  8,  8,  9,  7,  6,  7,  7,  7,  8,  8,  5,  9, 10,  9,  8,  6,  6,
   5, 16, 18, 13,  9,  6,  5,  3,  3,  3,  4,  4,  4,  3,  4,  1,  2,  2,  2,
   2,  2,  5,  1,  0,  1,  1,  1,  2,  5,  1,  3,  3,  3,  4,  2,  5,  3,  8,
   8,  8,  8,  6,  3,  8, 13, 14, 12, 10,  8,  3, 15, 17, 16, 13, 11,  9,  4,
   6,  8,  8,  8,  4,  2,  4,  6, 10,  9,  9,  6,  1,  4,  6, 11, 11, 10,  7,
   2,  3,  6, 12, 12, 12, 10,  6,  4,  8, 13, 15, 14, 12,  9,  4, 11, 15, 18,
  16, 13, 11,  6, 15, 17, 19, 17, 14, 12,  8, 13, 16, 15, 12,  8,  2,  2, 13,
  16, 16, 12,  9,  4,  2, 13, 16, 18, 13, 10,  6,  1, 13, 16, 19, 14, 12, 10,
   6, 13, 16, 20, 17, 14, 12,  8, 15, 17, 21, 20, 15, 13, 10, 17, 19, 22, 21,
  17, 14, 11, 18, 21, 24, 26, 26, 24, 21, 17, 20, 23, 26, 26, 24, 21, 15, 19,
  22, 26, 25, 23, 22, 14, 17, 21, 24, 26, 24, 22, 14, 17, 21, 23, 26, 25, 22,
  13, 16, 20, 23, 26, 25, 21, 13, 15, 18, 21, 24, 24, 22, 15, 19, 21, 24, 23,
  21, 17, 15, 18, 21, 24, 23, 20, 17, 13, 17, 20, 22, 22, 20, 17, 12, 16, 19,
  22, 22, 20, 18, 12, 15, 18, 21, 21, 22, 18, 11, 14, 17, 20, 21, 20, 18, 15,
  14, 16, 19, 19, 19, 18, 13, 17, 18, 18, 19, 17, 13, 12, 15, 17, 17, 17, 17,
  13, 11, 14, 16, 16, 16, 16, 13, 10, 13, 15, 15, 16, 16, 13, 10, 13, 15, 15,
  15, 15, 14, 10, 11, 13, 13, 14, 14, 13, 16, 16, 12, 12, 13, 13, 13, 11, 11,
  11, 11, 12, 12,  4, 10, 10, 10, 11, 10, 11,  4,  8,  9,  9,  9,  9,  9,  5,
   6,  8,  8,  8,  8,  8,  7,  7,  7,  7,  7,  7,  7,  4, 10, 11, 10,  8,  7,
   6,  4, 17, 18, 13,  9,  7,  5,  3,  3,  3,  3,  4,  4,  3,  4,  2,  2,  2,
   2,  2,  3,  4,  2,  1,  0,  0,  0,  2,  4,  2,  4,  3,  3,  4,  3,  4,  4,
   8,  8,  8,  8,  6,  3,  9, 13, 14, 12, 10,  7,  4, 15, 18, 18, 14, 12,  9,
   5,  5,  7,  7,  7,  3,  2,  3,  5,  9,  9,  8,  5,  1,  3,  5, 11, 11, 10,
   6,  2,  3,  6, 12, 14, 14, 10,  6,  4,  8, 14, 19, 18, 15,  9,  5, 11, 17,
  24, 23, 18, 11,  6, 16, 21, 25, 26, 20, 13,  7, 13, 19, 18, 12,  7,  2,  2,
  13, 19, 20, 14,  9,  3,  2, 13, 19, 23, 16, 11,  6,  2, 13, 20, 25, 19, 15,
  10,  6, 15, 21, 26, 25, 19, 14,  8, 17, 24, 29, 28, 21, 16, 10, 20, 26, 30,
  31, 24, 17, 11, 18, 22, 26, 29, 29, 26, 23, 17, 20, 25, 28, 29, 26, 22, 15,
  19, 23, 26, 28, 24, 22, 14, 17, 20, 24, 27, 25, 22, 14, 17, 20, 23, 27, 25,
  22, 13, 16, 20, 23, 26, 25, 22, 13, 14, 18, 22, 25, 25, 22, 15, 19, 23, 26,
  25, 22, 19, 14, 18, 22, 25, 24, 21, 18, 13, 16, 20, 23, 22, 20, 17, 13, 16,
  19, 21, 22, 21, 18, 12, 15, 18, 21, 21, 21, 18, 11, 14, 17, 20, 20, 21, 18,
  15, 14, 17, 19, 19, 19, 18, 13, 17, 19, 19, 21, 18, 14, 12, 15, 17, 19, 19,
  17, 13, 11, 14, 16, 16, 16, 16, 12, 10, 14, 15, 15, 15, 15, 12, 10, 13, 14,
  14, 14, 15, 13, 10, 11, 13, 13, 13, 13, 13, 17, 16, 12, 12, 12, 12, 12, 11,
  11, 12, 12, 13, 13,  5, 11, 10, 10, 11, 11, 11,  4,  9,  9,  9,  9,  8,  8,
   4,  5,  9,  8,  8,  8,  8,  6,  7,  7,  7,  7,  7,  7,  3, 10, 11, 10,  9,
   6,  6,  3, 17, 18, 13,  9,  7,  5,  3,  3,  3,  4,  4,  5,  4,  5,  1,  2,
   2,  3,  3,  4,  4,  1,  1,  0,  0,  0,  2,  3,  1,  4,  4,  3,  4,  3,  3,
   4,  8,  8,  8,  8,  5,  3, 10, 13, 14, 12, 10,  7,  4, 15, 18, 17, 14, 12,
   9,  4,  6,  7,  7,  7,  4,  3,  4,  6, 10,  8,  9,  6,  2,  3,  6, 11, 10,
  10,  6,  2,  2,  6, 12, 14, 13, 10,  6,  4,  9, 15, 18, 18, 14,  9,  4, 12,
  17, 24, 22, 17, 11,  6, 16, 21, 24, 25, 19, 13,  7, 14, 19, 18, 12,  7,  3,
   4, 13, 19, 20, 14,  8,  3,  2, 13, 19, 22, 15, 10,  6,  2, 14, 20, 25, 19,
  14, 10,  5, 15, 21, 27, 24, 19, 13,  8, 17, 24, 29, 29, 22, 15,  9, 21, 27,
  30, 30, 23, 17, 11, 18, 22, 26, 29, 30, 27, 23, 17, 21, 24, 28, 30, 26, 21,
  15, 19, 23, 26, 27, 24, 21, 14, 17, 21, 24, 27, 25, 22, 14, 17, 20, 23, 27,
  25, 22, 14, 16, 19, 23, 26, 25, 21, 13, 15, 18, 21, 25, 25, 22, 15, 19, 23,
  26, 26, 23, 20, 14, 18, 22, 25, 25, 22, 18, 13, 16, 20, 23, 23, 20, 17, 12,
  15, 19, 21, 22, 21, 17, 13, 15, 18, 21, 21, 20, 17, 11, 13, 17, 19, 20, 20,
  17, 15, 15, 15, 18, 18, 18, 18, 13, 16, 18, 19, 21, 19, 15, 12, 15, 18, 18,
  19, 17, 13, 12, 14, 16, 16, 15, 16, 11, 11, 14, 14, 15, 15, 15, 12, 10, 13,
  14, 14, 14, 14, 12, 10, 12, 13, 13, 13, 13, 12, 17, 16, 13, 12, 12, 12, 11,
  12, 11, 11, 12, 13, 13,  6, 11,  9, 10, 11, 11, 11,  4,  9,  9,  9,  8,  8,
   8,  4,  5,  9,  8,  8,  8,  8,  6,  7,  7,  7,  7,  7,  7,  3, 11, 12, 10,
   8,  6,  5,  3, 17, 18, 13, 10,  7,  5,  3,  4,  3,  4,  4,  5,  5,  5,  1,
   1,  2,  3,  3,  3,  4,  1,  1,  0,  0,  0,  1,  2,  1,  4,  4,  3,  4,  3,
   3,  5,  9,  8,  8,  8,  6,  3, 10, 14, 14, 12, 10,  7,  4, 15, 18, 17, 13,
  12,  9,  5,  6,  7,  7,  7,  4,  4,  5,  6,  9,  8,  8,  5,  2,  3,  6, 11,
  10,  9,  6,  2,  2,  6, 13, 13, 12, 10,  6,  4,  9, 15, 18, 17, 14,  9,  5,
  12, 18, 23, 21, 16, 11,  6, 16, 20, 24, 23, 18, 13,  7, 13, 15, 13, 10,  7,
   3,  4, 13, 16, 15, 11,  8,  3,  1, 12, 15, 17, 11,  9,  6,  2, 12, 17, 20,
  16, 13,  9,  6, 15, 19, 23, 21, 18, 13,  7, 18, 23, 26, 26, 20, 15,  9, 21,
  25, 28, 28, 22, 17, 11, 17, 20, 25, 28, 28, 25, 21, 16, 19, 23, 28, 28, 24,
  21, 14, 18, 21, 25, 27, 23, 20, 13, 16, 19, 22, 26, 23, 20, 13, 16, 19, 22,
  26, 24, 21, 12, 15, 18, 22, 25, 24, 21, 13, 14, 17, 21, 23, 24, 21, 14, 18,
  21, 25, 24, 22, 18, 13, 17, 20, 24, 23, 20, 16, 12, 16, 19, 22, 21, 19, 15,
  11, 14, 17, 20, 20, 19, 16, 12, 14, 17, 20, 19, 19, 16,  9, 12, 15, 18, 18,
  19, 16, 16, 14, 14, 17, 17, 17, 16, 12, 15, 17, 18, 19, 17, 13, 11, 14, 16,
  17, 17, 16, 11, 11, 13, 15, 14, 15, 14, 10, 10, 13, 13, 13, 13, 13, 11,  9,
  12, 12, 12, 12, 12, 11, 11, 12, 11, 11, 12, 11, 11, 17, 16, 12, 10, 10, 10,
  10, 10, 10, 10, 11, 12, 12,  6,  9,  8,  9,  9, 10, 10,  4,  8,  7,  7,  7,
   7,  7,  3,  5,  7,  6,  6,  6,  6,  5,  6,  6,  6,  5,  6,  5,  2, 11, 12,
  10,  9,  7,  5,  3, 17, 17, 13, 10,  7,  5,  3,  2,  1,  2,  3,  4,  5,  5,
   1,  0,  1,  2,  2,  3,  3,  1,  2,  2,  2,  1,  0,  2,  1,  5,  4,  4,  4,
   3,  3,  5,  9,  8,  8,  8,  6,  3, 11, 14, 14, 11,  9,  7,  4, 16, 17, 17,
  13, 10,  8,  5,  5,  5,  4,  3,  3,  3,  5,  5,  7,  5,  4,  3,  2,  2,  5,
   7,  5,  4,  2,  2,  1,  5,  8,  8,  7,  6,  5,  4,  8, 11, 13, 11, 10,  8,
   5, 12, 15, 18, 16, 11,  8,  6, 16, 18, 19, 18, 13,  9,  7,  8,  9,  7,  5,
   3,  3,  3,  8,  9,  8,  6,  3,  2,  1,  8,  9, 10,  6,  4,  3,  2,  7, 10,
  13, 10,  8,  6,  6, 10, 13, 17, 16, 12,  9,  7, 13, 17, 20, 19, 14, 10,  8,
  17, 20, 21, 21, 16, 11,  8, 13, 16, 19, 22, 22, 20, 16, 12, 15, 18, 22, 22,
  19, 15, 11, 15, 18, 20, 21, 18, 15, 10, 12, 15, 18, 21, 19, 16,  9, 12, 15,
  18, 21, 20, 16,  8, 11, 14, 17, 21, 19, 16, 11, 11, 13, 16, 20, 19, 16, 11,
  14, 17, 20, 18, 17, 14, 10, 13, 16, 19, 18, 15, 12,  8, 12, 15, 17, 16, 14,
  12,  7, 10, 13, 16, 16, 14, 12,  7, 10, 12, 15, 15, 15, 12,  9, 10, 11, 14,
  14, 14, 12, 14, 12, 11, 13, 13, 13, 12,  8, 12, 13, 14, 15, 13, 10,  7, 10,
  13, 13, 13, 13,  8,  6,  9, 11, 11, 11, 10,  7,  5,  9,  9,  9,  9,  9,  7,
   6,  8,  9,  9,  9,  8,  7, 12, 11,  9,  8,  7,  7,  7, 15, 13, 10,  8,  7,
   6,  6,  6,  6,  7,  8,  9,  9,  5,  5,  4,  5,  6,  6,  7,  3,  3,  3,  4,
   4,  3,  3,  2,  2,  3,  3,  3,  2,  2,  2,  6,  7,  6,  5,  5,  4,  2, 12,
  12,  9,  8,  6,  5,  3, 15, 16, 11,  9,  7,  5,  4,  4,  3,  3,  2,  3,  4,
   5,  4,  4,  3,  3,  3,  3,  3,  4,  5,  4,  3,  2,  2,  0,  4,  8,  5,  5,
   4,  4,  3,  8, 12,  9,  9,  8,  6,  4, 11, 14, 14, 12, 10,  7,  5, 15, 17,
  17, 14, 12,  9,  5,  8,  7,  6,  5,  4,  4,  4,  7,  9,  6,  6,  4,  3,  2,
   8, 11,  8,  7,  5,  3,  2,  8, 11, 12, 11,  9,  6,  5, 10, 14, 17, 16, 13,
   9,  5, 13, 18, 22, 20, 15, 10,  7, 16, 20, 23, 22, 17, 12,  8, 12, 15, 13,
   9,  5,  4,  3, 11, 15, 16, 11,  6,  3,  2, 12, 15, 18, 12,  8,  5,  3, 12,
  16, 21, 16, 12,  9,  6, 14, 19, 24, 21, 16, 12,  8, 16, 21, 26, 26, 19, 13,
   9, 20, 24, 27, 27, 22, 15, 10, 15, 19, 23, 26, 26, 25, 22, 14, 18, 22, 25,
  25, 23, 21, 13, 17, 20, 23, 24, 21, 19, 13, 15, 18, 20, 22, 20, 18, 12, 14,
  16, 18, 21, 20, 18, 10, 12, 15, 17, 20, 20, 18, 10, 11, 13, 15, 19, 19, 18,
  14, 17, 20, 23, 24, 23, 19, 13, 16, 19, 22, 24, 21, 17, 12, 14, 17, 20, 20,
  19, 15, 11, 13, 16, 17, 17, 17, 15, 10, 12, 14, 16, 16, 17, 14,  8, 11, 12,
  14, 14, 15, 15, 11, 11, 12, 14, 14, 14, 14, 12, 14, 16, 17, 19, 19, 15, 11,
  13, 15, 16, 17, 17, 12, 10, 13, 14, 14, 14, 15, 12,  9, 12, 12, 12, 13, 13,
  12,  7, 10, 12, 12, 12, 12, 12,  8,  9,  9, 10, 11, 12, 12, 12, 13, 10,  9,
  10, 11, 11, 10, 10, 10, 11, 13, 14,  6,  8,  9,  9, 10, 10, 11,  5,  7,  8,
   8,  8,  9,  9,  5,  4,  6,  6,  7,  7,  7,  5,  5,  5,  6,  6,  6,  7,  5,
   8,  8,  7,  6,  5,  5,  4, 12, 12,  8,  6,  5,  4,  2,  2,  2,  2,  2,  3,
   4,  6,  0,  1,  1,  2,  1,  2,  5,  0,  1,  1,  1,  1,  1,  5,  0,  2,  2,
   1,  2,  1,  4,  2,  4,  4,  3,  4,  2,  2,  5,  7,  7,  6,  5,  3,  2,  9,
  10, 10,  7,  6,  4,  2,  4,  5,  4,  5,  3,  2,  5,  4,  6,  6,  5,  3,  1,
   3,  4,  7,  7,  6,  4,  1,  2,  4,  7,  8,  7,  5,  3,  2,  4,  8, 11,  9,
   7,  4,  2,  6, 10, 14, 12,  9,  6,  2,  9, 12, 14, 13, 10,  7,  3,  9, 12,
  11,  7,  5,  2,  2,  9, 12, 13,  8,  5,  2,  1,  9, 12, 14,  9,  6,  3,  1,
   9, 12, 15, 10,  7,  5,  2,  8, 12, 15, 13,  9,  7,  4, 10, 14, 17, 16, 11,
   8,  5, 12, 15, 17, 17, 13,  9,  6, 21, 24, 26, 29, 28, 27, 25, 21, 23, 26,
  28, 29, 26, 23, 19, 22, 25, 26, 27, 25, 23, 18, 21, 23, 26, 27, 24, 21, 16,
  19, 21, 23, 25, 23, 22, 15, 19, 21, 22, 24, 23, 21, 12, 15, 19, 22, 24, 23,
  22, 20, 23, 25, 27, 26, 24, 22, 18, 21, 24, 26, 26, 23, 21, 17, 20, 23, 25,
  23, 23, 20, 16, 18, 21, 23, 22, 21, 19, 14, 17, 19, 22, 21, 21, 19, 12, 15,
  18, 20, 21, 20, 19, 12, 12, 17, 19, 20, 19, 20, 17, 21, 22, 22, 22, 21, 18,
  15, 20, 21, 22, 21, 20, 17, 14, 18, 20, 20, 20, 20, 17, 12, 16, 17, 17, 18,
  18, 16, 11, 14, 16, 16, 17, 17, 16,  8, 12, 14, 14, 16, 16, 16, 13, 13, 11,
  13, 15, 15, 15, 14, 15, 16, 16, 17, 17,  8, 13, 13, 14, 15, 15, 15,  8, 10,
  12, 13, 13, 13, 14,  8,  7, 10, 10, 10, 10, 11,  9,  7,  8,  9,  9,  9, 10,
   6,  8,  8,  7,  7,  7,  8,  6, 13, 14, 10,  7,  6,  6,  5,  6,  6,  7,  8,
   8,  6,  8,  2,  5,  6,  6,  6,  6,  8,  2,  3,  4,  4,  4,  5,  9,  2,  0,
   0,  0,  0,  2,  6,  3,  5,  4,  5,  5,  3,  5,  5,  9,  9,  8,  6,  4,  3,
  11, 12, 11,  8,  6,  5,  2,  4,  6,  6,  6,  3,  5,  7,  4,  7,  7,  7,  4,
   5,  6,  4,  8,  8,  8,  6,  3,  6,  4,  8,  8,  7,  5,  3,  3,  4,  8,  9,
   8,  7,  5,  2,  7,  9, 12, 11,  8,  6,  3, 11, 12, 13, 12,  9,  6,  4,  9,
  12, 11,  9,  6,  3,  6,  9, 12, 13,  9,  7,  3,  5,  9, 13, 15, 10,  7,  4,
   3, 10, 12, 15,  9,  7,  6,  3,  8, 11, 14, 12,  8,  6,  5,  9, 13, 15, 14,
  10,  7,  6, 11, 14, 16, 16, 12,  8,  6, 22, 26, 28, 31, 31, 29, 26, 21, 24,
  28, 31, 31, 28, 25, 19, 23, 26, 29, 29, 27, 23, 18, 20, 24, 27, 29, 26, 22,
  15, 18, 21, 24, 27, 25, 22, 14, 16, 20, 23, 27, 25, 22, 12, 15, 18, 22, 25,
  25, 22, 19, 23, 26, 30, 27, 26, 22, 18, 21, 25, 28, 28, 24, 22, 16, 20, 24,
  27, 25, 24, 20, 15, 18, 21, 23, 23, 21, 19, 13, 16, 19, 22, 22, 21, 19, 11,
  15, 17, 21, 21, 21, 19, 12, 12, 16, 19, 20, 20, 19, 16, 20, 22, 23, 24, 22,
  18, 15, 18, 21, 22, 22, 21, 17, 14, 17, 20, 20, 20, 20, 15, 13, 15, 16, 16,
  17, 17, 14, 10, 13, 15, 15, 15, 16, 14,  8, 12, 13, 14, 14, 14, 14, 13, 13,
  12, 12, 13, 13, 13, 13, 14, 15, 16, 17, 17,  9, 12, 13, 14, 15, 15, 15,  8,
   9, 11, 12, 13, 12, 13,  8,  6,  9,  9,  9,  9,  9,  7,  6,  8,  8,  8,  8,
   8,  4,  8,  8,  7,  6,  6,  7,  4, 13, 15, 10,  7,  5,  5,  3,  5,  6,  7,
   8,  8,  7,  8,  2,  5,  5,  6,  7,  6,  8,  2,  3,  3,  4,  4,  4,  5,  2,
   0,  0,  0,  0,  2,  4,  3,  5,  5,  4,  5,  3,  3,  6, 10, 11,  9,  7,  4,
   2, 12, 15, 14, 11,  9,  6,  2,  4,  6,  7,  7,  4,  6,  7,  4,  8,  8,  9,
   5,  5,  6,  4, 10, 10, 10,  6,  2,  4,  4, 10, 11, 11,  7,  3,  2,  5, 11,
  15, 15, 12,  6,  2,  8, 14, 20, 19, 14,  8,  3, 13, 17, 21, 21, 16, 10,  4,
  12, 19, 18, 12,  7,  5,  6, 13, 19, 21, 14,  8,  3,  5, 13, 19, 23, 15, 10,
   4,  2, 13, 18, 23, 17, 11,  7,  3, 12, 18, 23, 21, 16, 10,  4, 14, 20, 25,
  24, 19, 12,  6, 17, 23, 25, 25, 20, 14,  8, 22, 26, 29, 32, 33, 30, 26, 20,
  24, 28, 33, 33, 29, 26, 19, 23, 27, 30, 31, 28, 23, 18, 20, 24, 27, 30, 26,
  23, 15, 18, 21, 24, 28, 26, 23, 14, 17, 19, 23, 27, 26, 22, 12, 15, 18, 22,
  26, 25, 22, 19, 23, 27, 29, 29, 27, 23, 18, 21, 26, 29, 29, 25, 22, 16, 20,
  24, 27, 26, 24, 20, 15, 18, 21, 24, 23, 22, 19, 13, 16, 19, 21, 22, 21, 19,
  12, 15, 18, 20, 21, 21, 18, 12, 12, 17, 19, 20, 19, 19, 16, 20, 22, 23, 24,
  22, 19, 15, 18, 20, 22, 23, 22, 17, 13, 17, 19, 19, 20, 19, 15, 13, 15, 15,
  16, 16, 17, 13, 10, 13, 15, 15, 14, 15, 13,  8, 12, 13, 14, 14, 13, 13, 13,
  13, 12, 12, 13, 13, 12, 14, 14, 15, 16, 17, 18, 10, 13, 13, 14, 15, 15, 15,
   8, 10, 11, 12, 12, 12, 12,  7,  6, 10,  9,  9,  9,  9,  7,  6,  8,  8,  8,
   7,  7,  4,  8,  8,  7,  6,  6,  6,  3, 13, 14,  9,  6,  5,  5,  2,  6,  6,
   7,  8,  9,  8,  9,  1,  5,  6,  6,  7,  6,  8,  1,  3,  3,  3,  4,  4,  5,
   1,  0,  0,  0,  0,  2,  3,  3,  5,  4,  4,  4,  2,  2,  6, 10, 11,  9,  6,
   3,  2, 12, 15, 14, 10,  9,  5,  2,  4,  6,  7,  7,  5,  7,  8,  4,  8,  8,
   8,  5,  5,  6,  4, 10, 10,  9,  5,  2,  3,  4,  9, 11, 10,  6,  2,  2,  5,
  11, 15, 14, 11,  5,  2,  8, 14, 20, 18, 13,  7,  2, 12, 17, 21, 21, 15, 10,
   4, 13, 19, 17, 12,  7,  5,  7, 13, 18, 20, 13,  8,  3,  4, 13, 19, 21, 14,
   9,  4,  1, 13, 17, 22, 16, 10,  6,  2, 12, 17, 24, 21, 15,  9,  4, 14, 20,
  25, 25, 18, 11,  6, 17, 22, 26, 26, 20, 14,  8, 22, 26, 30, 34, 33, 30, 28,
  21, 24, 29, 33, 33, 30, 26, 19, 23, 27, 31, 32, 28, 24, 18, 20, 24, 28, 30,
  27, 23, 15, 18, 21, 25, 29, 26, 23, 14, 17, 20, 23, 27, 27, 23, 12, 15, 19,
  23, 26, 26, 22, 19, 23, 28, 30, 29, 26, 24, 18, 21, 25, 29, 30, 26, 22, 17,
  20, 24, 27, 27, 23, 20, 15, 18, 21, 23, 24, 22, 18, 14, 16, 19, 22, 22, 22,
  18, 12, 15, 17, 20, 20, 21, 19, 12, 13, 17, 20, 19, 20, 18, 17, 20, 22, 23,
  24, 23, 18, 15, 19, 21, 22, 23, 21, 17, 15, 17, 20, 19, 20, 19, 15, 13, 16,
  16, 17, 17, 16, 13, 10, 14, 15, 15, 15, 15, 13,  9, 12, 14, 14, 14, 14, 13,
  12, 12, 12, 12, 13, 13, 12, 15, 15, 15, 16, 17, 18, 10, 13, 13, 14, 15, 15,
  15,  8, 10, 12, 12, 12, 12, 12,  7,  6, 10,  9,  9,  9,  9,  7,  6,  8,  8,
   8,  7,  8,  4,  8,  8,  7,  7,  6,  6,  3, 12, 12,  9,  6,  5,  5,  2,  6,
   6,  7,  8,  9,  8, 10,  2,  5,  6,  7,  7,  6,  8,  1,  4,  4,  4,  4,  4,
   4,  1,  0,  0,  0,  0,  1,  3,  3,  5,  4,  4,  4,  2,  2,  6, 10, 10,  8,
   6,  3,  2, 11, 13, 13, 10,  8,  5,  1,  5,  7,  7,  7,  5,  7,  8,  5,  9,
   8,  8,  5,  5,  6,  5, 10,  9,  8,  5,  2,  3,  5, 10, 10,  9,  6,  2,  2,
   5, 11, 14, 13, 10,  5,  1,  8, 14, 19, 17, 12,  7,  2, 12, 16, 20, 20, 14,
   9,  3, 12, 15, 13, 10,  6,  6,  7, 12, 15, 15, 11,  7,  4,  4, 12, 15, 16,
  11,  8,  3,  2, 12, 15, 17, 13, 10,  6,  2, 11, 16, 19, 17, 14,  9,  4, 14,
  19, 23, 23, 16, 11,  5, 16, 21, 24, 23, 19, 13,  7, 21, 24, 28, 32, 33, 29,
  25, 19, 23, 27, 31, 32, 28, 25, 18, 21, 25, 29, 30, 27, 23, 17, 20, 22, 25,
  28, 25, 21, 14, 17, 20, 23, 27, 24, 21, 13, 16, 18, 22, 26, 25, 21, 11, 14,
  17, 21, 24, 24, 21, 17, 22, 25, 29, 28, 26, 23, 17, 20, 24, 28, 28, 24, 20,
  15, 19, 22, 26, 26, 23, 18, 14, 16, 20, 22, 22, 21, 17, 12, 15, 18, 20, 20,
  20, 17, 10, 13, 16, 19, 19, 19, 17, 10, 12, 15, 18, 18, 18, 17, 16, 19, 21,
  21, 24, 21, 17, 14, 17, 20, 21, 21, 20, 15, 13, 16, 18, 18, 18, 18, 14, 12,
  14, 15, 15, 15, 15, 11, 10, 13, 14, 13, 13, 13, 12,  8, 11, 12, 12, 12, 12,
  11, 10, 10, 10, 11, 11, 11, 11, 13, 13, 14, 15, 16, 17,  9, 11, 12, 13, 14,
  14, 14,  7,  9, 11, 10, 11, 10, 10,  6,  5,  9,  8,  7,  7,  7,  6,  5,  6,
   6,  6,  6,  6,  3,  8,  7,  6,  5,  4,  5,  3, 10, 10,  7,  5,  4,  3,  2,
   5,  5,  6,  7,  8,  8,  9,  1,  4,  5,  5,  6,  6,  7,  1,  2,  3,  3,  3,
   3,  4,  1,  2,  2,  2,  1,  0,  2,  2,  6,  5,  4,  4,  2,  2,  6,  9,  9,
   7,  5,  3,  1,  9, 11, 10,  7,  6,  4,  2,  5,  4,  4,  4,  5,  7,  8,  5,
   6,  4,  4,  4,  4,  6,  5,  8,  5,  4,  2,  2,  3,  5,  7,  7,  4,  3,  2,
   1,  5,  8, 10,  8,  6,  4,  2,  8, 11, 13, 10,  7,  5,  3, 10, 12, 13, 12,
   8,  6,  3,  9, 11,  8,  5,  5,  6,  6,  9, 11,  9,  5,  4,  4,  4,  9, 11,
  11,  6,  4,  2,  1,  8, 11, 11,  7,  5,  3,  2,  8, 10, 13, 11,  8,  5,  4,
  10, 13, 15, 14,  9,  7,  4, 11, 14, 15, 15, 11,  7,  5, 17, 21, 24, 28, 27,
  25, 22, 16, 20, 24, 27, 27, 23, 20, 14, 18, 21, 24, 26, 23, 18, 13, 16, 19,
  22, 25, 20, 17, 10, 13, 15, 19, 22, 20, 17,  9, 11, 14, 18, 22, 21, 17,  7,
  10, 14, 16, 20, 20, 17, 14, 18, 21, 25, 24, 22, 18, 13, 17, 21, 24, 23, 20,
  16, 12, 15, 20, 21, 21, 19, 14, 11, 13, 16, 19, 18, 17, 13,  8, 11, 13, 16,
  16, 16, 13,  7,  9, 12, 15, 15, 15, 12,  6,  8, 12, 14, 13, 14, 13, 12, 16,
  17, 18, 19, 18, 14, 10, 14, 16, 17, 17, 16, 12,  9, 13, 15, 14, 14, 14, 10,
   9, 11, 11, 11, 11, 11,  8,  5,  8,  9,  9,  9,  9,  8,  5,  7,  8,  8,  8,
   8,  8,  6,  6,  7,  6,  7,  7,  6, 10, 10, 10, 11, 12, 13,  9,  8,  8,  9,
  10, 10, 10,  6,  6,  7,  7,  7,  7,  7,  4,  3,  4,  4,  3,  4,  4,  3,  3,
   3,  2,  2,  2,  2,  2,  5,  5,  3,  3,  2,  1,  0,  6,  7,  4,  3,  2,  2,
   1,  2,  3,  4,  5,  6,  8,  8,  4,  3,  4,  5,  5,  5,  6,  4,  5,  4,  3,
   3,  3,  3,  4,  6,  4,  3,  3,  2,  0,  4,  6,  5,  4,  4,  2,  1,  6,  7,
   8,  7,  5,  3,  2,  7,  9, 11,  8,  7,  5,  2,  7,  6,  5,  5,  5,  7,  7,
   7,  8,  6,  6,  4,  4,  5,  7,  8,  7,  7,  4,  2,  2,  7,  8,  8,  8,  5,
   3,  2,  6,  9, 12, 11,  8,  5,  2,  7, 11, 16, 15, 10,  6,  3,  9, 13, 17,
  17, 12,  7,  3, 10, 14, 13,  8,  5,  6,  6, 10, 14, 15, 10,  6,  3,  3, 10,
  14, 17, 10,  6,  3,  2, 10, 13, 17, 12,  8,  5,  2, 10, 14, 19, 16, 11,  8,
   4, 12, 16, 21, 20, 14,  9,  5, 14, 18, 22, 22, 16, 11,  6, 19, 22, 24, 28,
  28, 25, 22, 18, 21, 23, 26, 28, 25, 22, 17, 20, 22, 24, 26, 23, 20, 16, 18,
  20, 22, 24, 21, 17, 13, 15, 17, 18, 21, 19, 16, 11, 12, 14, 16, 19, 18, 16,
   8, 10, 12, 15, 17, 18, 16, 17, 20, 23, 25, 25, 23, 20, 17, 19, 22, 24, 24,
  22, 19, 15, 18, 21, 22, 22, 20, 18, 14, 16, 18, 19, 19, 18, 14, 10, 13, 14,
  15, 15, 15, 14,  8, 10, 12, 14, 14, 15, 14,  9,  9, 11, 12, 13, 13, 14, 15,
  18, 19, 20, 20, 20, 16, 13, 17, 18, 19, 19, 18, 16, 12, 16, 17, 17, 17, 17,
  15, 11, 14, 15, 15, 15, 15, 13,  7, 10, 12, 11, 12, 12, 13,  5,  8,  9, 10,
  11, 12, 12, 10, 10,  8,  8, 10, 11, 11, 12, 14, 14, 15, 15, 16,  9, 11, 12,
  13, 13, 13, 14,  9,  9, 10, 11, 11, 12, 12,  9,  6,  8,  8,  9,  9,  9,  7,
   4,  5,  5,  5,  6,  6,  6,  5,  6,  5,  4,  4,  5,  5, 10, 10,  6,  4,  3,
   3,  3,  4,  5,  6,  7,  7,  8,  9,  2,  4,  5,  6,  6,  7,  9,  2,  3,  4,
   4,  4,  5,  8,  2,  3,  3,  3,  3,  2,  4,  0,  3,  2,  2,  2,  1,  3,  3,
   4,  5,  4,  3,  1,  1,  7,  7,  7,  5,  4,  3,  1,  5,  6,  6,  7,  5,  6,
   8,  5,  7,  7,  7,  5,  5,  7,  5,  8,  8,  8,  6,  4,  6,  5,  7,  8,  7,
   5,  2,  1,  3,  6,  9,  8,  5,  2,  1,  4,  8, 11, 10,  7,  4,  1,  6, 10,
  12, 11,  8,  5,  2, 10, 13, 13,  9,  6,  5,  6, 10, 14, 14, 10,  7,  5,  6,
  10, 14, 15, 10,  7,  5,  3, 10, 13, 15, 10,  7,  4,  1,  9, 11, 14, 12,  8,
   5,  2,  8, 12, 15, 14,  9,  6,  3, 10, 13, 15, 15, 11,  7,  4, 27, 29, 32,
  35, 35, 32, 30, 25, 29, 31, 34, 34, 31, 28, 25, 27, 31, 32, 33, 30, 26, 22,
  26, 28, 30, 32, 28, 24, 20, 23, 25, 26, 28, 26, 23, 16, 19, 21, 24, 26, 25,
  23, 13, 17, 21, 23, 26, 26, 23, 24, 28, 31, 33, 32, 29, 28, 23, 26, 29, 32,
  32, 29, 26, 21, 25, 28, 30, 30, 28, 25, 20, 23, 26, 28, 26, 25, 21, 16, 20,
  22, 24, 24, 22, 21, 14, 17, 20, 21, 22, 22, 21, 10, 13, 18, 21, 21, 21, 21,
  21, 25, 28, 28, 28, 27, 24, 20, 24, 26, 27, 27, 27, 23, 18, 22, 24, 25, 26,
  25, 22, 16, 20, 21, 22, 22, 23, 18, 11, 16, 17, 18, 18, 18, 18,  7, 13, 16,
  16, 16, 17, 18,  9, 10, 13, 15, 15, 16, 17, 18, 19, 21, 22, 22, 22, 15, 16,
  18, 20, 20, 20, 21, 14, 13, 16, 17, 18, 18, 18, 14,  9, 14, 14, 14, 15, 15,
  12,  7, 10, 10, 10, 10, 11,  8,  7,  7,  7,  8,  9,  9,  6,  9,  9,  6,  6,
   7,  8,  7,  9, 11, 12, 14, 14, 13, 14,  4,  9, 11, 12, 12, 11, 14,  4,  7,
   8,  8,  9,  9, 12,  4,  5,  5,  5,  5,  6,  6,  3,  0,  0,  0,  0,  3,  6,
   3,  3,  3,  2,  1,  1,  6,  6,  6,  5,  2,  2,  2,  5,  4,  5,  6,  6,  9,
  12, 13,  4,  5,  6,  6,  8, 10, 11,  4,  6,  6,  6,  5,  7,  9,  4,  5,  5,
   5,  3,  3,  6,  2,  3,  5,  4,  2,  2,  4,  2,  4,  7,  6,  3,  2,  2,  5,
   5,  8,  7,  4,  2,  1,  7, 10,  9,  7,  7, 10, 12,  7, 10, 11,  8,  6,  8,
  10,  7, 10, 12,  7,  5,  5,  6,  7,  9, 12,  7,  4,  2,  2,  5,  8, 10,  7,
   4,  2,  1,  4,  7, 10,  9,  5,  2,  1,  5,  9, 11, 11,  7,  3,  2, 27, 30,
  34, 37, 37, 34, 32, 25, 29, 32, 36, 36, 34, 29, 23, 27, 32, 34, 35, 32, 28,
  22, 25, 28, 31, 33, 29, 24, 19, 22, 25, 27, 30, 28, 24, 16, 19, 21, 24, 29,
  27, 24, 13, 17, 20, 24, 27, 27, 24, 24, 27, 31, 34, 33, 31, 28, 22, 26, 30,
  33, 33, 31, 27, 20, 24, 29, 31, 30, 29, 25, 19, 22, 25, 28, 28, 27, 22, 16,
  18, 22, 25, 24, 23, 21, 13, 16, 19, 23, 22, 23, 21, 10, 14, 18, 21, 21, 21,
  21, 21, 24, 27, 29, 29, 28, 23, 19, 23, 26, 27, 28, 26, 22, 18, 21, 24, 24,
  25, 24, 20, 16, 20, 20, 20, 21, 22, 17, 10, 16, 17, 17, 17, 18, 16,  7, 13,
  15, 16, 16, 16, 16,  8, 11, 13, 13, 15, 15, 15, 18, 19, 20, 21, 22, 23, 15,
  15, 17, 19, 20, 19, 19, 14, 12, 16, 17, 17, 17, 17, 13,  8, 13, 13, 13, 14,
  14, 11,  6,  9,  9,  9,  9,  9,  8,  6,  7,  7,  8,  8,  8,  5,  8,  9,  5,
   6,  6,  7,  5,  8, 10, 12, 13, 13, 13, 15,  3,  9, 10, 11, 11, 11, 14,  3,
   8,  8,  8,  8,  8,  9,  3,  5,  4,  4,  4,  5,  5,  2,  0,  0,  0,  0,  2,
   4,  3,  5,  6,  5,  3,  1,  4,  7, 10, 10,  6,  5,  2,  4,  4,  5,  6,  7,
   9, 11, 13,  4,  7,  7,  7,  8,  9, 11,  4,  9,  9,  8,  5,  7,  8,  4,  8,
  10, 10,  5,  3,  4,  2,  7, 12, 12,  7,  2,  3,  3,  9, 15, 15, 10,  4,  2,
   8, 12, 16, 16, 12,  6,  1, 11, 17, 16, 11,  7, 10, 12, 11, 18, 19, 13,  7,
   8,  9, 11, 17, 21, 14,  8,  4,  6, 11, 17, 21, 15,  9,  4,  2, 10, 16, 21,
  17, 12,  6,  1, 10, 16, 20, 19, 14,  8,  2, 13, 18, 20, 20, 16, 10,  4, 27,
  30, 33, 37, 36, 35, 31, 25, 29, 32, 36, 37, 35, 30, 23, 27, 31, 35, 35, 32,
  28, 22, 25, 29, 31, 34, 30, 24, 19, 22, 24, 27, 31, 28, 25, 16, 18, 21, 25,
  29, 28, 25, 13, 16, 20, 23, 27, 27, 25, 23, 28, 30, 34, 33, 31, 29, 22, 26,
  30, 33, 34, 29, 26, 20, 24, 28, 30, 31, 28, 23, 19, 22, 24, 27, 28, 26, 20,
  17, 19, 21, 24, 24, 23, 20, 14, 16, 19, 22, 21, 22, 20, 10, 14, 18, 20, 21,
  21, 21, 20, 24, 26, 27, 29, 27, 23, 19, 22, 25, 26, 26, 25, 21, 18, 21, 23,
  24, 24, 24, 19, 15, 20, 20, 20, 21, 20, 16, 10, 16, 16, 17, 16, 16, 16,  7,
  14, 14, 15, 15, 15, 16,  8, 11, 13, 14, 14, 14, 14, 18, 18, 19, 20, 22, 22,
  15, 15, 17, 18, 19, 20, 20, 13, 11, 16, 16, 16, 16, 16, 12,  8, 14, 12, 13,
  13, 13, 11,  6, 10,  9,  9,  9,  9,  7,  6,  7,  7,  7,  7,  8,  4,  8,  8,
   5,  6,  6,  6,  4,  7, 10, 12, 13, 13, 13, 14,  3,  9, 10, 11, 11, 10, 13,
   3,  8,  8,  8,  8,  8,  9,  3,  5,  4,  4,  4,  4,  4,  2,  0,  0,  0,  0,
   2,  3,  3,  5,  6,  4,  2,  1,  3,  6,  9,  9,  6,  4,  2,  2,  4,  5,  6,
   7,  9, 12, 13,  4,  7,  7,  7,  8,  9, 10,  4,  8,  9,  8,  5,  6,  7,  4,
   8,  9,  9,  5,  3,  3,  2,  7, 11, 11,  7,  2,  3,  3,  9, 15, 15,  9,  3,
   2,  7, 12, 17, 17, 11,  5,  1, 11, 17, 16, 11,  7, 10, 11, 11, 17, 19, 12,
   7,  8,  9, 11, 17, 20, 14,  8,  4,  5, 11, 17, 21, 14,  9,  3,  2, 10, 15,
  21, 17, 11,  5,  1, 10, 16, 21, 21, 14,  7,  2, 12, 18, 22, 22, 16, 10,  4,
  26, 30, 33, 39, 37, 35, 31, 25, 29, 32, 37, 37, 33, 30, 23, 26, 32, 34, 36,
  32, 28, 22, 24, 28, 31, 33, 30, 25, 19, 21, 25, 27, 30, 28, 25, 16, 19, 21,
  25, 28, 28, 25, 14, 17, 20, 24, 27, 28, 25, 23, 28, 30, 34, 34, 31, 27, 22,
  26, 29, 32, 33, 30, 26, 21, 24, 28, 30, 31, 28, 24, 20, 22, 25, 28, 29, 26,
  20, 17, 19, 21, 23, 24, 23, 20, 14, 16, 19, 21, 22, 23, 20, 12, 15, 18, 21,
  21, 21, 20, 21, 24, 27, 27, 29, 27, 23, 19, 23, 26, 26, 26, 25, 21, 18, 22,
  23, 23, 24, 24, 19, 15, 20, 20, 20, 20, 20, 15, 10, 16, 17, 17, 17, 16, 15,
   7, 14, 15, 15, 15, 15, 14,  7, 12, 14, 14, 14, 14, 14, 18, 19, 20, 20, 22,
  21, 15, 15, 17, 18, 20, 20, 19, 13, 12, 16, 16, 16, 16, 16, 12,  8, 14, 13,
  12, 13, 13, 11,  6, 10,  9,  9,  9,  9,  7,  6,  8,  8,  7,  7,  8,  4,  7,
   5,  6,  6,  6,  6,  4,  7, 11, 12, 12, 13, 13, 15,  4,  9, 10, 11, 11, 10,
  13,  4,  8,  8,  8,  8,  8,  8,  4,  5,  5,  4,  4,  4,  4,  2,  0,  0,  0,
   0,  2,  3,  3,  4,  4,  3,  2,  2,  3,  4,  5,  5,  4,  4,  2,  2,  4,  5,
   6,  7,  9, 11, 13,  4,  7,  7,  7,  8,  9, 10,  4,  9,  8,  7,  5,  6,  7,
   4,  8,  9,  8,  5,  3,  3,  2,  7, 11,  9,  6,  2,  2,  3,  9, 14, 12,  8,
   3,  2,  4,  9, 14, 14, 10,  5,  1, 10, 14, 12,  9,  8, 10, 11, 10, 14, 14,
  10,  7,  8,  8, 10, 14, 15, 10,  7,  4,  5, 10, 13, 15, 11,  8,  3,  2, 10,
  13, 16, 14, 10,  5,  1, 10, 15, 18, 17, 12,  7,  2, 11, 15, 18, 18, 13,  9,
   3, 24, 27, 31, 35, 36, 33, 29, 22, 26, 30, 34, 36, 32, 28, 21, 25, 28, 32,
  33, 29, 25, 19, 22, 26, 29, 31, 27, 23, 17, 19, 21, 25, 29, 26, 23, 15, 17,
  19, 23, 27, 26, 22, 13, 16, 19, 22, 26, 26, 23, 21, 25, 28, 32, 31, 28, 25,
  20, 22, 27, 31, 31, 28, 23, 19, 22, 26, 28, 28, 25, 21, 17, 20, 23, 25, 25,
  23, 18, 15, 17, 19, 22, 22, 21, 18, 13, 15, 17, 20, 20, 21, 19, 10, 14, 17,
  19, 19, 19, 18, 19, 22, 23, 25, 27, 24, 20, 18, 21, 23, 24, 24, 23, 18, 17,
  19, 21, 22, 21, 20, 16, 15, 17, 18, 18, 18, 18, 13, 10, 14, 15, 14, 14, 15,
  13,  6, 13, 14, 13, 13, 13, 13,  6, 12, 12, 12, 12, 12, 12, 17, 17, 17, 18,
  19, 19, 13, 14, 15, 16, 16, 17, 17, 10, 11, 14, 14, 14, 14, 13,  9,  7, 12,
  11, 10, 10, 10,  9,  5,  8,  8,  7,  7,  7,  5,  5,  6,  6,  6,  6,  6,  3,
   6,  4,  4,  4,  4,  4,  3,  7,  8,  9, 10, 11, 11, 13,  2,  7,  8,  8,  9,
   8, 10,  2,  6,  6,  5,  6,  6,  6,  2,  3,  3,  2,  2,  3,  3,  1,  3,  2,
   2,  2,  0,  2,  2,  5,  5,  4,  2,  1,  2,  3,  6,  7,  4,  3,  2,  2,  3,
   4,  5,  7,  8, 10, 11,  3,  4,  5,  6,  7,  7,  8,  3,  6,  5,  4,  4,  4,
   5,  3,  5,  5,  3,  2,  1,  2,  3,  7,  7,  5,  4,  2,  1,  5,  7, 10,  7,
   4,  3,  0,  6,  8, 10,  8,  5,  3,  1,  6,  8,  7,  5,  7,  8,  9,  6,  8,
   7,  6,  6,  6,  6,  6,  8,  9,  5,  3,  3,  3,  6,  8, 10,  7,  4,  2,  0,
   7, 10, 11,  8,  5,  3,  2,  8, 10, 11, 10,  6,  4,  2,  9, 10, 11, 11,  7,
   4,  3, 19, 22, 26, 30, 30, 27, 23, 17, 21, 25, 29, 29, 25, 22, 16, 20, 23,
  26, 28, 24, 20, 15, 17, 21, 24, 26, 23, 18, 12, 14, 17, 20, 24, 22, 18, 10,
  13, 16, 19, 22, 22, 18,  8, 11, 15, 18, 20, 21, 18, 16, 20, 23, 27, 25, 23,
  20, 15, 18, 22, 26, 26, 22, 18, 14, 17, 21, 23, 23, 20, 16, 12, 15, 18, 21,
  20, 19, 14,  9, 12, 15, 17, 17, 17, 14,  8, 11, 14, 16, 16, 16, 14,  6,  9,
  13, 15, 14, 15, 14, 14, 17, 19, 19, 21, 20, 15, 12, 15, 17, 18, 19, 18, 13,
  11, 14, 16, 16, 16, 16, 11, 10, 12, 13, 12, 13, 13,  9,  6,  9, 10, 10, 10,
  10,  9,  5,  8,  9,  9,  9,  9,  9,  6,  7,  8,  8,  8,  8,  8, 11, 11, 12,
  13, 14, 15,  9, 10, 10, 10, 11, 11, 12,  7,  8,  9,  9,  9,  8,  8,  5,  4,
   6,  5,  5,  5,  5,  4,  3,  3,  3,  3,  3,  2,  2,  4,  3,  2,  2,  2,  2,
   1,  6,  7,  4,  3,  2,  1,  0,  3,  3,  5,  6,  7,  8,  9,  2,  3,  4,  5,
   6,  6,  7,  2,  3,  3,  3,  3,  3,  4,  2,  5,  3,  2,  2,  2,  1,  3,  6,
   4,  3,  3,  2,  0,  4,  7,  6,  4,  3,  2,  2,  6,  8,  8,  6,  4,  3,  2,
   6,  6,  5,  5,  6,  7,  8,  6,  7,  5,  5,  5,  5,  5,  6,  8,  6,  4,  3,
   2,  2,  6,  8,  6,  5,  4,  3,  1,  6,  7,  9,  8,  5,  3,  2,  7,  9, 13,
  11,  7,  4,  2,  8, 10, 14, 13,  9,  5,  3,  8, 11,  9,  6,  5,  7,  7,  8,
  11, 11,  7,  4,  4,  4,  8, 11, 13,  7,  4,  3,  2,  8, 10, 14,  8,  5,  3,
   2,  8, 11, 15, 13,  8,  5,  3,  9, 13, 17, 17, 10,  6,  3, 11, 15, 18, 18,
  12,  7,  4, 23, 25, 27, 31, 31, 29, 25, 23, 24, 26, 29, 30, 27, 25, 21, 24,
  27, 27, 28, 25, 22, 20, 21, 24, 25, 26, 22, 16, 17, 19, 20, 21, 20, 18, 16,
  12, 14, 16, 16, 18, 18, 16,  8, 11, 14, 16, 18, 18, 16, 21, 24, 25, 28, 27,
  26, 24, 20, 23, 25, 27, 27, 24, 23, 18, 22, 25, 24, 25, 22, 20, 17, 20, 22,
  22, 21, 20, 15, 14, 16, 18, 19, 16, 15, 14,  9, 12, 14, 15, 14, 15, 15,  6,
   8, 12, 14, 14, 15, 15, 19, 22, 23, 24, 24, 24, 21, 16, 20, 22, 23, 24, 23,
  21, 15, 19, 21, 22, 22, 21, 19, 14, 17, 18, 18, 18, 19, 14,  9, 13, 14, 15,
  14, 14, 13,  4,  9, 10, 11, 12, 13, 13,  7,  7,  8, 10, 11, 12, 13, 15, 17,
  18, 20, 20, 21, 16, 14, 15, 16, 18, 18, 18, 14, 11, 13, 15, 15, 15, 15, 12,
   7, 11, 11, 11, 12, 11, 10,  5,  7,  7,  7,  6,  7,  6,  3,  3,  3,  3,  5,
   6,  6,  6,  6,  4,  2,  3,  4,  5,  8, 10, 11, 13, 14, 15, 16,  5,  9, 10,
  12, 12, 13, 15,  5,  8,  9,  9, 10, 10, 11,  5,  6,  6,  6,  6,  6,  5,  3,
   3,  3,  3,  3,  2,  4,  0,  3,  3,  2,  2,  2,  5,  4,  4,  5,  3,  3,  3,
   3,  7,  8,  8,  9, 11, 14, 15,  7,  9,  8,  9,  9, 11, 13,  7,  9,  9,  9,
   7,  8, 10,  7,  8,  8,  8,  6,  5,  5,  5,  7,  9,  7,  5,  3,  2,  3,  5,
  10,  8,  6,  3,  2,  4,  7, 10, 10,  7,  4,  2, 10, 13, 13, 10,  9, 12, 13,
  10, 14, 14, 11,  9,  9, 11, 10, 13, 16, 11,  8,  7,  8, 10, 13, 15, 10,  8,
   6,  2,  9, 11, 14, 11,  7,  4,  2,  7, 10, 13, 12,  8,  5,  3,  7, 11, 13,
  13,  9,  6,  3, 30, 34, 36, 38, 39, 38, 34, 29, 33, 36, 38, 38, 35, 33, 27,
  31, 33, 36, 37, 34, 30, 26, 29, 31, 35, 35, 30, 24, 23, 26, 27, 30, 29, 27,
  24, 18, 22, 23, 25, 27, 26, 24, 14, 18, 21, 24, 26, 26, 24, 27, 31, 35, 37,
  36, 35, 31, 25, 30, 33, 36, 36, 33, 29, 24, 28, 31, 34, 34, 31, 28, 23, 26,
  30, 32, 29, 28, 22, 19, 23, 25, 27, 25, 24, 22, 15, 18, 20, 22, 23, 24, 22,
  11, 15, 19, 22, 22, 22, 22, 24, 29, 30, 32, 33, 32, 28, 22, 26, 30, 31, 30,
  31, 26, 22, 25, 28, 28, 28, 28, 23, 19, 23, 24, 25, 25, 25, 18, 13, 19, 21,
  21, 19, 19, 19,  7, 15, 16, 16, 18, 18, 19,  7, 11, 14, 15, 16, 17, 17, 21,
  23, 24, 26, 27, 27, 21, 18, 21, 22, 24, 24, 24, 19, 14, 20, 20, 21, 21, 21,
  17, 11, 17, 17, 17, 17, 17, 15,  9, 12, 12, 13, 12, 12, 11,  6,  8,  8,  9,
   9, 10,  8,  7,  5,  6,  7,  8,  8,  8, 11, 14, 16, 17, 18, 19, 20,  7, 13,
  14, 16, 17, 16, 19,  7, 13, 13, 13, 14, 14, 15,  7,  9, 10,  9,  9,  9,  8,
   5,  3,  5,  5,  4,  5,  7,  3,  0,  2,  2,  1,  3,  7,  3,  3,  3,  2,  2,
   2,  5,  7,  9, 10, 12, 15, 18, 20,  7,  7,  9, 11, 13, 16, 16,  7,  8,  8,
   8, 10, 12, 12,  7,  7,  7,  7,  6,  7,  6,  5,  5,  6,  5,  3,  2,  5,  2,
   3,  5,  4,  3,  2,  4,  3,  5,  6,  6,  4,  2,  3,  9, 11, 11,  9, 12, 16,
  17,  9, 11, 12, 10, 10, 13, 15,  9, 11, 13,  9,  7,  9, 11,  9, 10, 12,  8,
   6,  5,  4,  7,  9, 10,  8,  4,  2,  3,  5,  7,  9,  8,  4,  3,  2,  4,  6,
   9,  9,  5,  3,  2, 32, 36, 40, 42, 43, 41, 37, 31, 35, 39, 42, 42, 39, 35,
  29, 33, 38, 40, 41, 37, 33, 28, 30, 35, 37, 39, 34, 27, 25, 27, 30, 32, 33,
  30, 27, 21, 23, 26, 28, 31, 31, 27, 16, 20, 24, 27, 30, 30, 27, 29, 34, 37,
  39, 39, 37, 34, 28, 33, 35, 38, 39, 35, 32, 26, 30, 34, 36, 36, 33, 28, 25,
  28, 31, 33, 34, 30, 24, 21, 24, 27, 29, 27, 26, 24, 16, 20, 23, 25, 25, 27,
  24, 13, 17, 21, 24, 24, 25, 24, 26, 30, 32, 34, 35, 34, 29, 25, 28, 31, 33,
  33, 31, 26, 22, 26, 30, 30, 29, 29, 24, 19, 25, 26, 26, 27, 25, 20, 13, 21,
  22, 23, 20, 21, 20,  8, 17, 18, 18, 18, 19, 20,  7, 14, 16, 16, 17, 17, 18,
  23, 24, 25, 26, 28, 29, 21, 19, 22, 24, 25, 26, 26, 19, 15, 21, 22, 22, 22,
  22, 18, 11, 18, 18, 18, 18, 17, 16,  9, 13, 15, 14, 13, 12, 12,  7,  8, 10,
  10, 10, 11,  9,  7,  5,  8,  9,  9, 10,  7, 11, 16, 17, 18, 19, 19, 21,  7,
  15, 16, 17, 18, 17, 20,  7, 13, 14, 14, 14, 14, 14,  7,  9, 11, 10, 10,  9,
   8,  5,  3,  6,  6,  4,  5,  6,  3,  2,  0,  2,  3,  4,  6,  4,  3,  3,  2,
   2,  3,  5,  7, 10, 12, 13, 16, 18, 20,  7,  9, 11, 12, 14, 16, 16,  7,  7,
   9,  9, 11, 13, 12,  7,  6,  7,  7,  7,  7,  6,  5,  4,  9,  9,  5,  3,  5,
   3,  5, 11, 11,  7,  2,  5,  1,  7, 11, 12,  9,  4,  4,  9, 15, 14, 10, 14,
  17, 18,  8, 15, 16, 10, 12, 14, 14,  9, 14, 18, 11,  8, 10, 11,  8, 14, 18,
  12,  7,  5,  5,  7, 13, 17, 14,  9,  4,  4,  7, 13, 16, 14, 11,  6,  3,  8,
  13, 15, 15, 12,  8,  2, 30, 33, 38, 42, 43, 38, 36, 29, 33, 37, 41, 41, 38,
  35, 28, 31, 35, 39, 40, 36, 31, 26, 29, 33, 35, 38, 33, 27, 23, 26, 28, 30,
  32, 30, 27, 19, 22, 25, 27, 31, 30, 27, 16, 19, 22, 26, 30, 29, 27, 27, 31,
  34, 39, 38, 35, 32, 26, 30, 34, 38, 37, 34, 30, 26, 29, 32, 35, 34, 31, 26,
  23, 25, 30, 32, 31, 29, 23, 20, 23, 26, 28, 26, 26, 22, 16, 19, 22, 23, 23,
  25, 23, 12, 17, 20, 23, 23, 24, 23, 25, 29, 30, 31, 34, 32, 27, 23, 27, 29,
  31, 31, 29, 25, 22, 26, 28, 28, 28, 27, 22, 18, 23, 25, 25, 25, 23, 18, 12,
  20, 21, 21, 20, 19, 18,  7, 16, 17, 17, 17, 18, 18,  6, 14, 16, 16, 16, 16,
  16, 21, 23, 24, 25, 26, 26, 20, 18, 22, 23, 23, 24, 23, 17, 14, 20, 21, 20,
  21, 21, 16, 10, 17, 17, 17, 17, 16, 14,  8, 12, 13, 13, 12, 11, 11,  7,  8,
  10, 10,  9, 10,  7,  6,  5,  8,  8,  8,  8,  5,  9, 15, 15, 17, 17, 17, 19,
   6, 13, 14, 15, 15, 14, 17,  6, 12, 12, 12, 12, 11, 12,  6,  8,  9,  9,  8,
   7,  7,  4,  2,  5,  4,  3,  4,  5,  2,  2,  2,  0,  2,  3,  4,  3,  2,  3,
   2,  2,  2,  4,  6,  9, 10, 11, 13, 16, 17,  6,  7,  9, 10, 12, 13, 14,  6,
   7,  7,  8,  9, 10,  9,  6,  6,  7,  7,  5,  6,  4,  4,  5,  9,  9,  4,  2,
   3,  2,  5, 11, 11,  6,  1,  3,  2,  6, 11, 13,  8,  3,  3,  9, 15, 14,  9,
  12, 14, 15,  9, 15, 17, 10, 10, 12, 12,  9, 15, 18, 11,  7,  9,  9,  9, 14,
  19, 12,  7,  4,  3,  7, 13, 19, 15,  8,  3,  2,  7, 13, 18, 17, 10,  5,  2,
   8, 14, 19, 18, 13,  7,  2, 29, 31, 36, 40, 40, 38, 34, 27, 30, 35, 39, 38,
  36, 32, 25, 29, 33, 37, 38, 33, 30, 24, 27, 31, 34, 36, 32, 26, 21, 24, 26,
  30, 32, 30, 25, 18, 20, 23, 27, 30, 28, 26, 16, 18, 22, 25, 29, 29, 26, 26,
  29, 33, 37, 35, 34, 30, 25, 28, 32, 35, 36, 32, 27, 22, 27, 30, 33, 33, 30,
  25, 22, 24, 26, 30, 30, 27, 21, 19, 21, 23, 26, 25, 25, 22, 16, 18, 20, 23,
  24, 24, 21, 12, 16, 19, 22, 22, 23, 21, 23, 26, 28, 29, 31, 29, 25, 22, 25,
  27, 29, 28, 27, 23, 20, 24, 26, 26, 26, 25, 20, 17, 22, 22, 22, 23, 22, 16,
  11, 18, 19, 19, 18, 18, 16,  7, 16, 17, 16, 16, 17, 16,  7, 15, 15, 15, 15,
  16, 15, 20, 21, 21, 22, 24, 24, 17, 17, 20, 20, 21, 21, 21, 15, 13, 19, 19,
  18, 18, 18, 13,  9, 16, 15, 15, 15, 14, 12,  7, 11, 11, 11, 10, 10,  9,  7,
   8, 10,  9,  9,  9,  6,  7,  5,  8,  8,  8,  8,  4,  8, 13, 14, 14, 15, 14,
  16,  5, 12, 12, 13, 13, 11, 15,  5, 10, 10, 10, 10,  9, 10,  5,  6,  7,  6,
   6,  5,  5,  3,  1,  3,  2,  2,  2,  3,  2,  1,  3,  2,  0,  2,  3,  4,  2,
   4,  2,  2,  1,  3,  4,  6,  7,  9, 10, 13, 14,  4,  5,  6,  8,  9, 10, 11,
   4,  7,  7,  6,  7,  7,  7,  4,  6,  7,  7,  3,  4,  3,  2,  5, 10,  8,  5,
   1,  2,  0,  6, 11, 11,  6,  2,  2,  3,  7, 12, 12,  8,  3,  2,  9, 12, 11,
   8,  9, 11, 12,  9, 13, 12,  9,  8,  9,  9,  9, 13, 14,  9,  6,  6,  7,  9,
  12, 14, 10,  7,  2,  2,  8, 12, 15, 13,  8,  3,  2,  8, 13, 16, 15, 10,  5,
   1,  8, 13, 16, 16, 11,  7,  2, 26, 28, 32, 36, 37, 34, 31, 24, 27, 31, 36,
  36, 33, 29, 23, 26, 29, 33, 34, 32, 27, 21, 24, 27, 31, 33, 29, 24, 18, 21,
  24, 27, 31, 27, 24, 16, 18, 22, 25, 28, 27, 24, 15, 17, 21, 23, 27, 27, 24,
  23, 27, 30, 35, 33, 31, 27, 21, 26, 29, 32, 32, 28, 25, 21, 23, 28, 30, 31,
  28, 23, 20, 22, 24, 27, 27, 25, 20, 17, 18, 21, 24, 24, 23, 20, 15, 17, 19,
  22, 22, 22, 20, 12, 16, 18, 20, 20, 21, 19, 21, 24, 25, 27, 28, 27, 22, 19,
  22, 25, 25, 26, 24, 20, 18, 21, 23, 23, 23, 22, 18, 16, 19, 20, 20, 20, 19,
  15, 10, 16, 16, 16, 16, 16, 14,  7, 15, 16, 15, 15, 15, 14,  7, 14, 14, 13,
  14, 14, 13, 18, 19, 18, 20, 21, 21, 14, 15, 17, 18, 18, 19, 18, 12, 12, 16,
  16, 16, 15, 15, 11,  8, 14, 13, 12, 12, 11, 10,  6, 10,  9,  9,  8,  8,  7,
   6,  8,  8,  7,  7,  7,  4,  7,  4,  6,  6,  6,  6,  3,  8, 10, 11, 12, 12,
  12, 13,  3,  9,  9, 10, 11,  9, 11,  3,  8,  7,  7,  7,  7,  7,  3,  4,  4,
   3,  3,  3,  3,  1,  1,  1,  1,  2,  1,  2,  2,  3,  4,  3,  2,  0,  3,  3,
   5,  5,  3,  3,  2,  2,  3,  5,  6,  7,  8, 10, 11,  3,  4,  6,  7,  7,  8,
   8,  3,  4,  4,  4,  5,  5,  6,  3,  4,  4,  3,  2,  2,  2,  2,  5,  6,  4,
   3,  2,  2,  3,  6,  8,  6,  3,  2,  1,  5,  7,  8,  7,  4,  3,  0,  5,  7,
   6,  6,  8,  9, 10,  5,  7,  7,  6,  6,  7,  7,  6,  7,  8,  4,  3,  4,  4,
   5,  7,  8,  5,  3,  2,  1,  5,  8,  9,  7,  4,  2,  0,  6,  8, 10,  9,  5,
   3,  2,  7,  9, 10, 10,  6,  4,  3, 20, 24, 29, 32, 32, 29, 25, 20, 23, 27,
  31, 31, 28, 25, 18, 21, 25, 29, 30, 25, 22, 16, 19, 22, 26, 28, 23, 20, 13,
  16, 19, 22, 26, 23, 19, 11, 14, 17, 20, 24, 23, 20, 10, 13, 16, 19, 22, 23,
  20, 18, 21, 25, 29, 28, 26, 22, 16, 20, 24, 28, 28, 24, 20, 15, 19, 23, 25,
  24, 23, 18, 14, 17, 20, 22, 22, 20, 16, 11, 13, 16, 18, 19, 18, 16, 10, 12,
  15, 17, 18, 17, 15,  7, 11, 14, 16, 16, 16, 16, 15, 19, 21, 21, 23, 21, 17,
  14, 17, 20, 21, 21, 20, 15, 13, 16, 18, 17, 18, 18, 14, 12, 14, 15, 15, 15,
  15, 11,  8, 11, 12, 12, 12, 12, 11,  5, 10, 11, 10, 10, 10, 11,  5,  8,  9,
   9, 10,  9,  9, 14, 13, 14, 14, 16, 17, 10, 11, 11, 12, 13, 13, 14,  8,  9,
  10, 11, 11, 10, 10,  7,  5,  8,  7,  7,  7,  7,  6,  4,  5,  5,  4,  4,  4,
   3,  5,  3,  3,  3,  3,  3,  3,  6,  5,  3,  2,  2,  2,  2,  4,  5,  6,  7,
   8,  9, 10,  2,  4,  5,  6,  6,  7,  8,  2,  3,  4,  4,  4,  4,  5,  2,  3,
   2,  2,  2,  1,  2,  1,  6,  4,  3,  3,  2,  2,  4,  7,  7,  5,  3,  2,  0,
   6,  8,  8,  5,  4,  3,  1,  5,  5,  5,  5,  6,  8,  9,  4,  6,  5,  5,  5,
   6,  6,  5,  7,  5,  4,  3,  3,  3,  5,  7,  7,  5,  4,  3,  0,  6,  8,  8,
   6,  4,  3,  1,  7,  9, 10,  8,  5,  3,  2,  8,  9, 11, 10,  6,  4,  2,  8,
  10,  7,  5,  6,  7,  7,  8,  9,  9,  6,  5,  5,  5,  8, 10, 10,  5,  4,  2,
   2,  8, 10, 11,  7,  5,  3,  2,  9, 10, 12, 10,  6,  4,  3,  9, 10, 14, 13,
   8,  5,  3,  9, 11, 14, 14,  9,  5,  3, 27, 30, 32, 34, 33, 31, 30, 26, 29,
  32, 33, 33, 30, 28, 25, 29, 30, 31, 31, 27, 24, 24, 25, 27, 28, 28, 23, 17,
  20, 23, 24, 23, 21, 18, 17, 17, 19, 19, 17, 19, 18, 17, 11, 13, 16, 18, 18,
  18, 17, 25, 27, 31, 32, 31, 30, 30, 24, 28, 30, 31, 31, 29, 26, 22, 25, 28,
  30, 28, 26, 23, 21, 24, 26, 26, 25, 21, 16, 18, 20, 22, 22, 17, 16, 16, 13,
  16, 17, 16, 16, 16, 16,  7, 11, 14, 16, 15, 16, 16, 22, 26, 28, 29, 30, 29,
  26, 21, 25, 27, 28, 28, 27, 24, 19, 23, 25, 26, 26, 25, 20, 18, 21, 22, 22,
  22, 20, 15, 11, 17, 18, 18, 15, 15, 14,  5, 12, 13, 13, 13, 13, 15,  4,  7,
  10, 11, 12, 13, 13, 19, 20, 22, 23, 25, 25, 22, 17, 19, 20, 22, 23, 23, 20,
  14, 18, 19, 19, 19, 18, 16, 11, 16, 15, 15, 15, 13, 13,  8, 11, 11, 10,  8,
   8,  9,  5,  5,  5,  5,  6,  7,  7,  4,  3,  2,  4,  5,  5,  7, 13, 16, 18,
  19, 20, 22, 22,  9, 15, 17, 18, 18, 19, 20,  9, 15, 15, 16, 16, 16, 14,  9,
  11, 12, 12, 11,  9,  7,  7,  6,  7,  6,  4,  3,  7,  4,  3,  4,  3,  4,  3,
   6,  0,  3,  4,  3,  4,  4,  4, 10, 11, 13, 14, 17, 20, 21, 10, 10, 12, 13,
  16, 17, 18, 10, 11, 11, 11, 12, 14, 13, 10, 10, 10,  9,  8,  7,  6,  8,  8,
   9,  8,  5,  4,  5,  5,  7,  9,  8,  5,  4,  3,  4,  5,  8,  9,  7,  5,  3,
  12, 14, 14, 13, 15, 19, 20, 12, 14, 15, 13, 13, 15, 17, 12, 14, 16, 12, 10,
  11, 11, 12, 13, 15, 11,  9,  6,  3, 10, 12, 14, 11,  7,  4,  3,  9, 10, 13,
  12,  8,  5,  4,  7, 10, 12, 13,  9,  6,  4, 34, 37, 39, 42, 42, 40, 38, 32,
  35, 39, 42, 42, 39, 36, 31, 34, 37, 39, 39, 36, 31, 29, 32, 34, 37, 36, 31,
  25, 26, 29, 30, 31, 30, 27, 25, 22, 24, 25, 25, 28, 27, 25, 16, 19, 21, 25,
  27, 27, 25, 30, 34, 38, 41, 40, 37, 35, 29, 33, 37, 39, 40, 36, 33, 27, 32,
  35, 37, 36, 33, 30, 26, 29, 33, 34, 32, 28, 23, 23, 26, 28, 29, 27, 24, 23,
  17, 21, 23, 22, 24, 24, 23, 11, 16, 20, 22, 23, 24, 23, 27, 31, 34, 35, 36,
  35, 30, 26, 29, 33, 34, 35, 33, 29, 23, 29, 31, 31, 31, 30, 25, 21, 26, 27,
  28, 27, 25, 20, 15, 22, 24, 23, 20, 20, 20,  9, 18, 18, 17, 17, 18, 20,  6,
  13, 15, 15, 16, 17, 18, 25, 26, 27, 28, 30, 31, 25, 20, 24, 26, 27, 27, 27,
  23, 17, 23, 24, 24, 24, 23, 21, 13, 20, 20, 20, 20, 18, 17, 11, 14, 15, 15,
  12, 12, 13,  8,  8, 11,  9, 10, 11, 10,  6,  4,  7,  7,  8,  9,  9, 13, 19,
  20, 22, 22, 24, 25, 10, 19, 19, 21, 21, 21, 22, 10, 17, 18, 18, 18, 17, 17,
  10, 12, 15, 14, 13, 11,  9,  7,  6, 10,  9,  5,  6,  7,  4,  3,  3,  2,  2,
   5,  8,  3,  0,  3,  2,  2,  3,  7, 10, 14, 15, 17, 20, 22, 24, 10, 12, 14,
  16, 18, 19, 20, 10, 10, 12, 12, 15, 16, 14, 10,  9,  8,  9, 10,  9,  7,  8,
   7,  7,  6,  4,  3,  7,  5,  5,  7,  5,  4,  2,  6,  2,  4,  6,  6,  4,  3,
   5, 10, 13, 13, 13, 17, 21, 22, 10, 13, 13, 12, 16, 18, 19, 10, 13, 14, 11,
  11, 13, 13, 10, 12, 13, 10,  8,  7,  6,  8, 10, 11,  9,  5,  3,  5,  7,  8,
   9,  8,  5,  3,  3,  5,  7,  9,  9,  6,  4,  2, 36, 39, 42, 47, 46, 43, 40,
  33, 38, 41, 46, 46, 42, 38, 33, 35, 40, 43, 43, 39, 35, 31, 33, 37, 39, 41,
  36, 31, 27, 30, 34, 35, 35, 32, 30, 23, 26, 28, 30, 33, 33, 30, 19, 22, 26,
  29, 32, 32, 30, 32, 36, 41, 44, 42, 41, 38, 31, 34, 39, 42, 42, 39, 35, 29,
  34, 37, 39, 40, 38, 32, 28, 31, 35, 36, 36, 32, 26, 23, 27, 30, 32, 30, 29,
  26, 18, 23, 26, 27, 27, 27, 27, 13, 20, 23, 26, 26, 26, 26, 30, 34, 35, 37,
  38, 38, 32, 27, 31, 35, 36, 36, 35, 30, 25, 30, 34, 34, 33, 32, 27, 21, 28,
  29, 29, 29, 28, 22, 15, 24, 26, 25, 23, 23, 22,  9, 20, 21, 20, 20, 21, 22,
   8, 17, 18, 19, 19, 20, 20, 25, 28, 29, 31, 31, 32, 26, 20, 26, 28, 29, 29,
  29, 23, 17, 24, 25, 26, 25, 25, 21, 14, 21, 22, 21, 22, 20, 18, 11, 15, 18,
  18, 15, 14, 14,  9, 10, 13, 13, 13, 13, 11,  8,  5, 10, 10, 11, 12,  8, 13,
  20, 20, 22, 23, 22, 25, 10, 18, 19, 21, 21, 20, 23,  9, 16, 18, 17, 17, 17,
  17, 10, 11, 14, 13, 13, 10, 10,  7,  5, 10,  9,  6,  7,  8,  5,  3,  3,  3,
   3,  5,  8,  4,  3,  0,  2,  3,  5,  7,  8, 14, 15, 17, 19, 22, 23,  9, 12,
  14, 15, 17, 19, 19,  9,  9, 12, 12, 14, 15, 14,  9,  8,  8,  8, 10,  9,  7,
   6,  5,  7,  7,  3,  5,  7,  4,  3,  8,  7,  5,  4,  7,  2,  4,  8,  8,  6,
   2,  5,  9, 12, 12, 13, 17, 20, 21,  9, 12, 14, 11, 15, 17, 18,  9, 12, 15,
   9, 11, 13, 13,  9, 11, 14, 10,  7,  7,  6,  7, 10, 13, 11,  6,  2,  5,  5,
  10, 11, 10,  7,  4,  4,  5,  8, 10, 10,  8,  6,  3, 32, 36, 39, 43, 44, 41,
  38, 31, 35, 38, 43, 44, 39, 35, 29, 33, 37, 40, 40, 38, 33, 28, 30, 34, 37,
  38, 34, 29, 25, 28, 30, 33, 35, 31, 29, 22, 24, 26, 29, 32, 31, 28, 18, 21,
  24, 28, 31, 32, 29, 29, 34, 38, 40, 41, 37, 34, 28, 32, 35, 39, 39, 36, 31,
  27, 30, 35, 38, 37, 33, 29, 25, 28, 31, 34, 33, 31, 24, 21, 25, 27, 29, 28,
  27, 24, 17, 21, 23, 25, 26, 27, 24, 13, 18, 22, 24, 24, 25, 25, 27, 30, 33,
  34, 35, 33, 29, 25, 29, 31, 33, 34, 32, 27, 23, 28, 30, 30, 30, 29, 24, 19,
  25, 25, 26, 26, 26, 20, 13, 21, 22, 23, 21, 20, 19,  8, 17, 19, 19, 19, 19,
  19,  7, 16, 17, 18, 18, 19, 18, 23, 25, 26, 27, 29, 28, 21, 18, 23, 24, 26,
  26, 25, 19, 15, 22, 23, 22, 22, 21, 18, 12, 19, 19, 19, 18, 17, 16,  9, 13,
  15, 15, 13, 12, 12,  8,  9, 11, 11, 11, 11,  9,  8,  5, 10,  9, 10, 10,  6,
  11, 16, 18, 19, 20, 18, 21,  7, 15, 16, 17, 17, 16, 19,  7, 12, 14, 14, 13,
  13, 14,  7,  8, 11, 10, 10,  7,  8,  5,  2,  6,  6,  4,  4,  6,  3,  2,  2,
   2,  2,  3,  5,  3,  2,  2,  0,  2,  3,  4,  6, 10, 11, 13, 15, 16, 19,  6,
   9, 10, 11, 13, 14, 15,  6,  7,  8,  9, 10, 11, 10,  6,  5,  6,  5,  6,  7,
   5,  4,  3,  7,  7,  3,  3,  4,  2,  3, 10, 10,  5,  2,  4,  1,  4, 10, 12,
   7,  2,  3,  7, 13, 12, 10, 13, 16, 16,  7, 13, 15,  9, 11, 13, 13,  7, 13,
  17, 10,  8, 10, 10,  7, 12, 17, 11,  5,  5,  4,  6, 11, 17, 13,  7,  2,  3,
   5, 12, 17, 16,  9,  4,  3,  6, 12, 17, 17, 11,  6,  2, 30, 35, 39, 42, 42,
  39, 36, 29, 34, 38, 41, 42, 38, 34, 28, 31, 36, 39, 41, 36, 33, 27, 28, 32,
  36, 38, 33, 28, 24, 25, 29, 33, 34, 31, 28, 20, 22, 26, 28, 32, 31, 28, 18,
  20, 24, 27, 30, 31, 28, 28, 31, 35, 40, 39, 35, 32, 26, 30, 34, 38, 39, 34,
  30, 25, 28, 32, 36, 36, 32, 27, 24, 26, 29, 33, 33, 30, 23, 20, 23, 26, 28,
  28, 26, 23, 16, 20, 23, 25, 26, 26, 24, 13, 19, 21, 24, 24, 24, 23, 25, 29,
  30, 32, 33, 31, 27, 23, 27, 29, 31, 30, 30, 25, 21, 26, 28, 29, 28, 27, 22,
  18, 25, 25, 25, 25, 24, 18, 12, 20, 22, 21, 21, 19, 18,  8, 18, 18, 19, 19,
  18, 18,  8, 16, 18, 17, 18, 18, 16, 20, 24, 24, 25, 26, 25, 19, 17, 22, 22,
  23, 24, 22, 17, 14, 20, 21, 20, 20, 20, 15, 11, 17, 17, 17, 17, 16, 14,  8,
  12, 14, 14, 13, 12, 11,  7,  9, 11, 11, 11, 11,  7,  7,  6, 10,  9,  9, 10,
   5,  9, 15, 16, 17, 18, 15, 18,  6, 14, 15, 15, 16, 13, 16,  6, 11, 12, 12,
  12, 10, 12,  6,  6,  9,  9,  8,  6,  7,  4,  2,  5,  4,  4,  3,  4,  3,  2,
   2,  2,  2,  2,  4,  4,  2,  3,  2,  0,  2,  3,  5,  8,  9, 10, 12, 14, 16,
   5,  6,  8,  9, 11, 11, 12,  5,  5,  6,  6,  8,  9,  8,  4,  4,  6,  5,  4,
   5,  4,  2,  4,  7,  7,  3,  2,  3,  2,  4, 10,  9,  4,  1,  3,  2,  5, 10,
  11,  6,  2,  2,  7, 11, 10,  7, 11, 13, 14,  7, 11, 11,  8,  9, 11, 11,  7,
  11, 13,  8,  6,  7,  8,  7, 11, 13,  9,  5,  3,  3,  6, 10, 14, 12,  7,  2,
   3,  6, 11, 15, 14,  8,  3,  2,  7, 12, 15, 15, 10,  5,  1, 27, 31, 36, 39,
  39, 36, 33, 27, 30, 34, 38, 39, 36, 32, 24, 27, 34, 36, 37, 33, 30, 24, 26,
  29, 32, 36, 32, 26, 21, 23, 26, 29, 32, 29, 26, 18, 20, 23, 26, 30, 29, 26,
  17, 19, 22, 25, 28, 29, 26, 24, 28, 32, 37, 35, 33, 29, 24, 27, 32, 34, 36,
  30, 27, 23, 26, 29, 32, 31, 30, 25, 22, 23, 27, 29, 29, 27, 22, 18, 20, 23,
  26, 25, 24, 21, 16, 18, 20, 23, 23, 24, 22, 12, 17, 20, 22, 22, 23, 21, 23,
  26, 28, 29, 30, 28, 23, 21, 25, 27, 28, 28, 27, 22, 20, 23, 26, 25, 26, 25,
  20, 17, 22, 21, 21, 21, 21, 16, 11, 18, 18, 18, 18, 18, 16,  8, 16, 17, 16,
  17, 16, 16,  8, 15, 15, 15, 15, 15, 14, 20, 21, 21, 22, 23, 23, 15, 16, 19,
  20, 20, 21, 19, 14, 13, 18, 18, 18, 17, 17, 12,  9, 15, 14, 14, 13, 13, 12,
   7, 11, 11, 10, 10, 10,  8,  7,  9, 10,  9,  9,  9,  5,  8,  5,  8,  8,  8,
   8,  3,  8, 12, 13, 14, 14, 13, 15,  4, 11, 12, 12, 12, 10, 13,  4,  9,  9,
   9,  9,  8,  9,  4,  5,  6,  5,  5,  4,  5,  3,  2,  2,  2,  2,  2,  3,  3,
   2,  3,  2,  1,  2,  3,  4,  3,  5,  3,  2,  0,  3,  3,  6,  7,  8,  9, 11,
  13,  3,  5,  7,  8,  8,  9, 10,  3,  4,  5,  5,  6,  6,  6,  3,  3,  3,  2,
   2,  3,  3,  1,  4,  6,  4,  3,  0,  3,  2,  6,  8,  5,  4,  2,  2,  4,  7,
   8,  7,  4,  2,  2,  4,  6,  6,  7,  9, 10, 11,  4,  6,  7,  6,  7,  8,  8,
   4,  6,  7,  4,  4,  4,  6,  4,  6,  8,  4,  2,  1,  2,  3,  8,  9,  7,  4,
   2,  2,  6,  9,  9,  9,  5,  3,  0,  7,  9,  9,  9,  6,  4,  2, 22, 26, 29,
  33, 33, 30, 27, 21, 24, 29, 33, 32, 29, 26, 19, 23, 27, 30, 32, 28, 24, 18,
  21, 24, 27, 30, 26, 21, 15, 17, 21, 24, 27, 24, 21, 13, 15, 18, 22, 25, 25,
  21, 12, 15, 18, 20, 24, 24, 21, 20, 23, 27, 31, 29, 26, 23, 18, 22, 26, 29,
  29, 26, 21, 17, 20, 24, 27, 27, 24, 20, 16, 18, 21, 24, 23, 22, 17, 13, 15,
  17, 20, 20, 20, 17, 12, 13, 16, 18, 19, 19, 16,  9, 12, 16, 18, 17, 18, 17,
  18, 20, 23, 24, 25, 23, 19, 17, 19, 21, 22, 22, 21, 17, 15, 18, 20, 20, 20,
  19, 15, 14, 16, 16, 16, 16, 16, 12,  9, 13, 14, 13, 13, 13, 12,  6, 12, 13,
  12, 12, 12, 12,  6, 10, 10, 11, 11, 11, 10, 15, 15, 16, 17, 18, 18, 11, 14,
  14, 14, 15, 15, 15,  9, 11, 12, 13, 12, 12, 11,  8,  6, 11,  9,  9,  9,  9,
   7,  4,  7,  6,  6,  5,  5,  4,  5,  5,  5,  5,  4,  4,  2,  6,  4,  3,  3,
   3,  3,  2,  6,  7,  7,  8,  9, 10, 11,  2,  5,  6,  7,  7,  8,  9,  2,  4,
   5,  4,  5,  5,  5,  2,  2,  2,  2,  1,  2,  2,  1,  4,  3,  3,  2,  1,  2,
   3,  5,  5,  3,  3,  2,  1,  4,  7,  6,  4,  3,  3,  0,  4,  4,  5,  6,  7,
   8, 10,  3,  5,  5,  6,  6,  6,  7,  4,  6,  5,  4,  4,  3,  4,  4,  6,  5,
   4,  3,  2,  1,  4,  7,  8,  5,  4,  3,  0,  5,  7,  9,  7,  4,  3,  2,  6,
   8,  9,  8,  5,  3,  2,  7,  9,  7,  5,  6,  8,  8,  7,  9,  8,  5,  5,  5,
   5,  7,  9,  9,  5,  3,  2,  3,  7,  8, 11,  6,  4,  3,  1,  8,  9, 11,  9,
   5,  3,  2,  8,  9, 11, 11,  6,  4,  2,  8, 10, 12, 12,  8,  5,  3, 24, 27,
  29, 32, 31, 29, 26, 23, 26, 28, 30, 32, 29, 25, 22, 24, 27, 29, 31, 29, 25,
  21, 23, 26, 28, 31, 28, 27, 20, 23, 25, 28, 31, 29, 26, 19, 23, 25, 27, 30,
  29, 27, 16, 20, 23, 26, 29, 28, 27, 22, 24, 27, 30, 28, 25, 24, 21, 24, 26,
  29, 28, 26, 24, 19, 22, 25, 28, 27, 25, 24, 18, 22, 24, 27, 26, 25, 23, 18,
  21, 24, 27, 26, 26, 24, 16, 19, 22, 24, 25, 25, 24, 13, 16, 21, 24, 25, 24,
  24, 19, 22, 23, 24, 24, 23, 19, 18, 20, 23, 23, 24, 23, 19, 17, 20, 22, 22,
  22, 23, 19, 16, 19, 21, 21, 22, 23, 20, 14, 18, 19, 20, 21, 22, 19, 11, 16,
  18, 19, 19, 20, 20, 13, 14, 16, 17, 19, 19, 18, 17, 18, 17, 18, 18, 17,  8,
  15, 15, 16, 16, 17, 16,  9, 13, 14, 15, 15, 15, 15, 10,  9, 14, 14, 14, 15,
  15, 11,  9, 12, 12, 13, 13, 14,  8, 10, 10, 10, 11, 11, 12,  6, 13, 13, 10,
   9, 10, 10,  6,  8,  9,  9,  9, 10,  6,  8,  4,  7,  7,  8,  8,  6,  9,  4,
   6,  5,  6,  6,  5,  7,  4,  4,  4,  4,  5,  5,  7,  5,  4,  4,  4,  4,  3,
   6,  7,  7,  7,  6,  4,  3,  4, 10, 10,  8,  6,  5,  3,  4,  0,  2,  2,  2,
   2,  5,  7,  0,  3,  2,  2,  1,  4,  8,  0,  4,  3,  2,  1,  3,  6,  0,  3,
   3,  2,  1,  2,  5,  2,  3,  5,  5,  3,  3,  4,  5,  6,  9,  8,  5,  3,  3,
   8,  9, 10,  9,  6,  4,  3,  4,  7,  6,  3,  2,  3,  6,  4,  7,  7,  4,  2,
   2,  5,  4,  7,  9,  4,  2,  0,  5,  4,  7, 10,  6,  3,  2,  3,  4,  7, 11,
   9,  5,  3,  3,  5,  9, 12, 11,  7,  4,  3,  7, 11, 12, 13,  8,  5,  3, 25,
  29, 32, 33, 34, 31, 29, 25, 27, 31, 34, 34, 32, 29, 23, 26, 29, 32, 34, 31,
  29, 21, 24, 28, 32, 34, 33, 30, 21, 24, 28, 32, 35, 33, 30, 20, 23, 27, 31,
  34, 33, 30, 18, 23, 25, 30, 33, 33, 31, 23, 25, 29, 31, 30, 27, 25, 21, 25,
  28, 31, 30, 27, 25, 21, 24, 27, 30, 29, 27, 25, 19, 22, 27, 28, 29, 29, 25,
  20, 22, 26, 29, 29, 28, 26, 19, 21, 24, 28, 28, 28, 25, 15, 19, 23, 27, 27,
  27, 26, 21, 25, 25, 26, 26, 24, 19, 19, 22, 25, 24, 25, 24, 19, 18, 22, 23,
  23, 24, 24, 20, 17, 21, 22, 23, 23, 23, 20, 14, 20, 22, 21, 22, 22, 21, 12,
  18, 20, 21, 21, 22, 20, 13, 16, 18, 19, 20, 20, 18, 19, 19, 19, 19, 19, 18,
   7, 16, 17, 18, 17, 18, 16,  9, 13, 16, 16, 17, 16, 15, 10, 10, 16, 16, 15,
  16, 15, 12, 11, 14, 15, 15, 14, 14,  9, 11, 12, 13, 13, 13, 13,  6, 14, 14,
  10, 11, 12, 12,  6,  8, 10, 10, 11, 10,  6,  7,  5,  9,  9,  9,  9,  6,  9,
   5,  8,  7,  7,  7,  5,  6,  5,  6,  6,  6,  7,  4,  6,  6,  5,  5,  5,  5,
   4,  6,  8,  9, 10,  9,  6,  5,  5, 11, 14, 14, 11,  8,  6,  4,  2,  0,  1,
   1,  3,  5,  6,  2,  2,  2,  2,  2,  4,  6,  2,  4,  4,  4,  1,  4,  7,  2,
   5,  7,  7,  4,  3,  5,  3,  7, 12, 11,  9,  6,  4,  6, 12, 16, 13, 11,  7,
   4, 12, 16, 16, 14, 12,  8,  5,  6, 11, 11,  6,  1,  3,  5,  6, 12, 12,  8,
   2,  3,  5,  6, 11, 13,  9,  4,  2,  5,  6, 12, 14, 12,  8,  4,  4,  8, 13,
  16, 15, 12,  8,  5, 10, 15, 17, 16, 13, 10,  6, 14, 17, 18, 17, 14, 11,  7,
  24, 27, 31, 33, 34, 31, 28, 23, 27, 29, 33, 34, 31, 28, 22, 25, 29, 32, 33,
  31, 28, 21, 25, 28, 31, 35, 32, 29, 22, 24, 28, 31, 35, 33, 30, 21, 24, 26,
  30, 34, 33, 29, 18, 21, 25, 29, 33, 33, 30, 21, 24, 28, 31, 29, 26, 24, 21,
  24, 27, 30, 30, 26, 23, 20, 23, 26, 28, 30, 27, 25, 19, 22, 26, 29, 29, 28,
  24, 20, 22, 26, 28, 28, 28, 25, 18, 21, 24, 27, 28, 27, 25, 16, 19, 23, 26,
  26, 27, 24, 20, 23, 24, 24, 24, 22, 17, 19, 21, 23, 24, 23, 22, 17, 18, 21,
  22, 23, 23, 21, 18, 16, 21, 22, 22, 23, 22, 18, 14, 20, 22, 22, 22, 22, 18,
  12, 18, 20, 20, 21, 21, 19, 15, 17, 19, 19, 19, 19, 17, 18, 17, 17, 17, 18,
  15,  6, 16, 16, 16, 16, 17, 14,  7, 12, 15, 16, 15, 15, 14,  9,  9, 16, 15,
  15, 15, 14, 12, 10, 14, 14, 15, 14, 13,  9, 12, 12, 12, 13, 13, 12,  6, 15,
  16, 11, 11, 12, 11,  5,  8, 10, 10, 10,  9,  4,  6,  4,  9,  8,  8,  8,  4,
   7,  4,  8,  7,  7,  7,  4,  6,  4,  6,  7,  6,  7,  4,  5,  6,  6,  6,  6,
   6,  5,  5,  8, 10, 12, 10,  7,  6,  5, 12, 16, 15, 12,  9,  7,  5,  2,  1,
   0,  1,  2,  3,  4,  2,  2,  2,  2,  2,  3,  4,  2,  4,  4,  4,  1,  3,  5,
   2,  6,  8,  8,  5,  4,  5,  4,  8, 13, 13,  9,  7,  5,  8, 13, 19, 18, 12,
   8,  5, 13, 18, 20, 19, 14,  9,  6,  6, 12, 11,  5,  1,  2,  4,  6, 12, 13,
   7,  1,  2,  4,  6, 12, 15,  9,  5,  2,  4,  6, 13, 18, 13,  9,  6,  5,  9,
  15, 21, 19, 13,  9,  6, 12, 18, 24, 23, 16, 10,  7, 16, 21, 25, 25, 18, 12,
   8, 24, 27, 30, 33, 33, 31, 26, 23, 26, 30, 33, 33, 31, 27, 21, 24, 28, 32,
  33, 31, 28, 21, 24, 29, 32, 35, 32, 29, 21, 24, 28, 31, 35, 33, 30, 20, 23,
  27, 30, 34, 32, 28, 19, 21, 26, 29, 33, 33, 29, 21, 25, 27, 31, 28, 26, 22,
  21, 23, 27, 30, 28, 26, 23, 19, 22, 26, 28, 29, 28, 23, 19, 23, 26, 29, 29,
  28, 24, 20, 23, 25, 28, 29, 28, 25, 18, 22, 24, 28, 28, 27, 25, 16, 19, 23,
  27, 27, 26, 24, 20, 23, 23, 24, 23, 21, 16, 19, 21, 23, 23, 23, 21, 16, 18,
  20, 22, 22, 22, 22, 17, 16, 21, 22, 22, 22, 22, 18, 15, 20, 22, 22, 22, 21,
  17, 13, 19, 20, 20, 21, 20, 18, 16, 18, 19, 19, 19, 19, 17, 18, 17, 17, 17,
  17, 14,  5, 16, 17, 16, 16, 15, 13,  6, 13, 15, 16, 15, 15, 13,  9,  9, 16,
  15, 15, 15, 13, 12, 11, 15, 14, 15, 14, 13,  8, 12, 13, 13, 13, 13, 12,  6,
  16, 17, 13, 11, 12, 11,  5,  8, 10, 10,  9,  8,  3,  5,  5,  9,  8,  8,  7,
   3,  6,  5,  8,  7,  7,  7,  3,  5,  5,  6,  7,  7,  7,  4,  5,  6,  6,  7,
   7,  7,  7,  5,  9, 12, 13, 11,  9,  7,  5, 14, 17, 17, 13, 10,  8,  6,  2,
   1,  1,  0,  2,  3,  4,  2,  3,  2,  2,  2,  3,  3,  2,  4,  4,  5,  2,  3,
   4,  2,  6,  9,  9,  6,  5,  5,  4,  9, 14, 13, 10,  8,  6,  9, 14, 20, 18,
  12,  9,  7, 15, 19, 21, 20, 15, 10,  7,  6,  9,  7,  4,  0,  2,  3,  6,  9,
   8,  5,  2,  2,  3,  6,  9, 10,  8,  5,  3,  4,  6, 11, 15, 12,  9,  7,  6,
  10, 14, 19, 18, 14, 10,  8, 13, 19, 23, 23, 16, 11,  8, 18, 22, 24, 24, 19,
  13,  9, 20, 23, 27, 30, 30, 28, 24, 19, 23, 26, 29, 29, 27, 24, 18, 21, 25,
  28, 31, 29, 26, 17, 21, 25, 28, 31, 29, 26, 18, 22, 24, 28, 32, 29, 26, 18,
  21, 24, 27, 32, 29, 25, 16, 19, 23, 26, 29, 29, 26, 18, 21, 24, 27, 27, 22,
  19, 18, 20, 23, 26, 26, 23, 20, 17, 19, 22, 26, 26, 24, 21, 16, 19, 23, 26,
  26, 25, 22, 17, 20, 23, 26, 25, 25, 21, 15, 18, 22, 24, 24, 24, 21, 17, 18,
  20, 23, 23, 23, 21, 17, 19, 19, 20, 21, 17, 13, 16, 18, 19, 19, 19, 18, 14,
  15, 18, 19, 20, 20, 19, 14, 15, 18, 20, 19, 20, 19, 15, 13, 17, 19, 18, 19,
  19, 16, 12, 16, 17, 18, 17, 18, 15, 19, 19, 16, 16, 17, 16, 15, 15, 14, 13,
  14, 14, 12,  3, 14, 13, 13, 13, 12, 11,  4, 11, 12, 12, 13, 12, 11,  7,  8,
  13, 13, 12, 12, 12,  9,  9, 12, 12, 11, 11, 10,  7, 12, 14, 12, 11, 10, 10,
   5, 19, 20, 15, 12,  9,  9,  6,  7,  6,  6,  6,  5,  2,  3,  3,  5,  5,  4,
   4,  3,  4,  3,  4,  3,  4,  4,  3,  4,  3,  3,  4,  5,  5,  5,  5,  5,  9,
   9,  9,  9,  8,  6, 10, 15, 16, 13, 10,  8,  6, 17, 20, 19, 15, 12,  9,  7,
   2,  3,  2,  2,  0,  2,  3,  2,  4,  3,  2,  2,  2,  3,  2,  6,  4,  4,  4,
   3,  4,  2,  7,  8,  8,  7,  6,  6,  7, 12, 14, 13, 12,  9,  7, 12, 16, 20,
  18, 13, 10,  8, 18, 21, 22, 19, 15, 11,  8,  7,  9,  5,  3,  2,  1,  2,  7,
   9,  7,  3,  2,  2,  3,  7,  9,  9,  6,  5,  5,  4,  7,  9, 13, 11,  9,  8,
   8,  9, 14, 17, 17, 14, 11,  8, 15, 18, 21, 22, 16, 13,  9, 19, 23, 23, 23,
  18, 14, 10, 16, 20, 23, 26, 25, 23, 20, 15, 18, 21, 25, 25, 24, 20, 14, 17,
  21, 25, 26, 24, 21, 14, 18, 21, 24, 28, 25, 22, 14, 18, 20, 25, 28, 26, 22,
  13, 17, 20, 23, 27, 26, 23, 17, 17, 19, 22, 25, 26, 22, 14, 17, 20, 23, 22,
  19, 15, 14, 16, 19, 22, 22, 20, 17, 12, 15, 18, 22, 22, 20, 17, 12, 15, 19,
  22, 22, 21, 18, 12, 16, 18, 21, 22, 21, 18, 12, 15, 18, 21, 21, 20, 18, 19,
  18, 17, 19, 19, 20, 18, 13, 15, 16, 16, 17, 14, 11, 12, 14, 15, 15, 16, 15,
  11, 11, 13, 14, 16, 16, 16, 12, 11, 13, 15, 15, 15, 15, 13,  9, 13, 15, 14,
  15, 15, 13, 14, 15, 14, 14, 14, 14, 13, 22, 20, 17, 13, 13, 13, 12, 11, 10,
   9,  9,  9,  9,  2, 10,  9,  9,  8,  9,  8,  3,  8,  8,  8,  9,  9,  9,  4,
   6,  8,  8,  9,  9,  8,  7,  7,  8,  9,  9,  9,  8,  6, 14, 16, 14, 13, 10,
   8,  7, 21, 23, 18, 13, 11,  9,  7,  2,  2,  2,  2,  2,  2,  2,  2,  1,  1,
   1,  1,  2,  3,  2,  2,  2,  3,  4,  3,  4,  2,  5,  6,  7,  7,  7,  7,  6,
  11, 12, 11, 11,  9,  7, 13, 18, 19, 15, 13, 10,  8, 20, 22, 21, 17, 14, 11,
   9,  5,  5,  3,  3,  2,  0,  2,  5,  6,  4,  3,  2,  2,  3,  5,  8,  6,  6,
   5,  5,  4,  5,  9, 11, 10,  9,  9,  8,  9, 14, 17, 15, 14, 12,  8, 15, 19,
  23, 20, 15, 12, 10, 21, 23, 24, 21, 17, 13, 10,  9, 11,  7,  4,  3,  2,  1,
   9, 11,  9,  5,  3,  3,  3,  9, 11, 11,  8,  7,  6,  6,  9, 12, 15, 13, 11,
  10, 10, 12, 16, 20, 19, 16, 13, 11, 17, 21, 24, 24, 19, 15, 11, 21, 24, 25,
  25, 20, 16, 12, 12, 15, 18, 20, 20, 17, 15, 11, 14, 17, 20, 20, 18, 16, 10,
  13, 16, 20, 21, 20, 17, 10, 13, 17, 20, 23, 20, 18, 10, 14, 16, 20, 24, 21,
  18, 11, 13, 16, 19, 23, 22, 18, 18, 17, 16, 18, 21, 22, 18, 11, 13, 16, 18,
  17, 14, 11,  9, 12, 15, 17, 16, 15, 13,  8, 11, 15, 18, 17, 16, 14,  7, 11,
  15, 18, 17, 17, 14,  8, 11, 14, 17, 17, 16, 14, 12, 14, 15, 16, 16, 16, 14,
  20, 19, 17, 16, 15, 15, 14,  8, 11, 12, 12, 12, 10,  7,  7, 10, 11, 11, 11,
  10,  7,  7,  9, 10, 11, 11, 11,  8,  6,  9, 11, 11, 11, 11,  9,  7, 10, 11,
  11, 11, 11,  9, 16, 16, 15, 13, 11,  9,  9, 22, 21, 17, 14, 11,  9,  8,  6,
   6,  5,  5,  5,  6,  1,  6,  5,  4,  4,  4,  4,  2,  5,  3,  4,  5,  4,  4,
   3,  8,  3,  5,  6,  6,  6,  6,  8,  9,  9, 10, 10,  9,  7, 16, 17, 15, 14,
  11,  9,  7, 23, 24, 18, 15, 12, 10,  8,  3,  2,  2,  2,  2,  1,  1,  5,  3,
   2,  2,  2,  2,  2,  4,  4,  3,  4,  5,  5,  4,  5,  7,  7,  8,  9,  8,  7,
   8, 13, 13, 13, 12, 11,  8, 15, 19, 20, 17, 14, 12,  9, 22, 24, 23, 18, 16,
  13, 10,  7,  6,  4,  3,  3,  2,  0,  7,  8,  5,  4,  3,  3,  3,  7, 10,  7,
   8,  7,  6,  6,  7, 11, 13, 13, 11, 10,  9, 11, 16, 20, 19, 16, 13, 10, 17,
  21, 26, 24, 19, 14, 11, 22, 25, 28, 25, 21, 16, 12, 10, 13, 10,  6,  3,  2,
   2, 11, 13, 12,  7,  4,  4,  4, 11, 13, 16, 11,  9,  8,  7, 11, 15, 21, 17,
  14, 12, 11, 14, 21, 24, 24, 20, 16, 12, 19, 24, 30, 30, 22, 17, 13, 25, 29,
  31, 30, 25, 19, 14, 23, 27, 29, 32, 32, 30, 27, 22, 25, 28, 31, 31, 29, 26,
  21, 24, 27, 29, 31, 28, 26, 20, 23, 26, 29, 30, 29, 27, 20, 23, 26, 28, 30,
  29, 26, 19, 21, 25, 27, 30, 28, 27, 16, 20, 23, 27, 29, 28, 27, 22, 24, 27,
  29, 29, 26, 24, 20, 24, 27, 28, 28, 26, 24, 20, 22, 26, 28, 26, 25, 22, 18,
  22, 24, 27, 26, 26, 24, 18, 21, 24, 26, 26, 26, 24, 16, 19, 22, 24, 25, 25,
  24, 13, 17, 21, 24, 24, 24, 24, 19, 22, 23, 25, 25, 23, 20, 18, 21, 22, 23,
  23, 23, 19, 17, 20, 22, 22, 22, 22, 19, 15, 19, 21, 21, 22, 22, 20, 14, 18,
  20, 20, 21, 21, 20, 11, 16, 18, 18, 19, 20, 20, 13, 14, 16, 17, 18, 19, 19,
  17, 17, 17, 18, 18, 18,  8, 15, 15, 16, 16, 17, 16,  9, 13, 15, 15, 15, 16,
  15,  9,  9, 13, 14, 14, 14, 14, 12,  9, 12, 13, 13, 13, 13,  8, 10, 10, 10,
  11, 12, 12,  6, 13, 13,  9,  9, 10, 10,  6,  7,  9,  9,  9, 10,  6,  7,  4,
   7,  8,  8,  8,  6,  9,  4,  6,  6,  6,  6,  5,  7,  4,  4,  4,  4,  5,  4,
   7,  5,  4,  4,  4,  4,  3,  6,  7,  7,  7,  6,  4,  3,  5, 10, 10,  8,  6,
   5,  3,  3,  0,  2,  2,  2,  2,  5,  7,  0,  3,  2,  2,  2,  4,  8,  0,  4,
   3,  2,  1,  3,  6,  0,  3,  3,  2,  1,  2,  5,  2,  3,  5,  5,  3,  3,  3,
   5,  6,  9,  8,  5,  3,  3,  8,  8, 10,  9,  6,  4,  3,  4,  7,  6,  3,  2,
   3,  6,  4,  7,  7,  4,  2,  2,  5,  4,  7,  9,  4,  2,  0,  4,  4,  7, 10,
   5,  3,  2,  3,  4,  7, 11,  9,  5,  3,  3,  5,  9, 12, 11,  7,  4,  3,  7,
  11, 12, 12,  8,  5,  3, 28, 31, 34, 36, 36, 33, 31, 26, 29, 33, 36, 37, 35,
  32, 25, 29, 32, 35, 37, 34, 31, 24, 27, 31, 34, 36, 34, 32, 24, 27, 31, 34,
  37, 36, 31, 23, 25, 30, 33, 36, 35, 32, 20, 24, 28, 32, 35, 35, 32, 25, 29,
  32, 34, 34, 31, 27, 24, 27, 30, 33, 32, 30, 27, 22, 26, 29, 32, 32, 30, 28,
  22, 25, 29, 32, 32, 31, 28, 23, 24, 28, 32, 31, 31, 28, 20, 24, 27, 30, 30,
  31, 29, 17, 20, 25, 29, 29, 29, 28, 23, 26, 27, 28, 28, 26, 21, 22, 25, 27,
  26, 27, 25, 21, 21, 24, 25, 26, 25, 27, 22, 18, 23, 26, 24, 26, 25, 22, 16,
  22, 24, 24, 25, 24, 23, 13, 20, 22, 23, 23, 24, 22, 14, 17, 20, 22, 22, 23,
  21, 20, 20, 21, 22, 22, 19, 10, 18, 19, 20, 20, 21, 19, 11, 15, 18, 18, 18,
  19, 17, 12, 11, 18, 18, 18, 18, 17, 14, 12, 16, 17, 17, 17, 16, 11, 12, 14,
  14, 15, 15, 15,  8, 14, 13, 12, 13, 14, 13,  8, 10, 12, 13, 13, 12,  7, 10,
   6, 11, 11, 11, 11,  7, 10,  6, 10,  9,  9,  9,  7,  9,  6,  8,  8,  8,  9,
   6,  7,  7,  5,  7,  7,  7,  4,  7,  8,  7,  9,  8,  5,  4,  6, 10, 12, 12,
   9,  7,  5,  5,  3,  2,  2,  3,  4,  6,  8,  3,  0,  1,  1,  3,  7,  8,  3,
   2,  2,  2,  2,  5,  8,  3,  3,  5,  5,  2,  3,  6,  4,  5,  8,  7,  7,  5,
   5,  5,  9, 11,  9,  8,  6,  4, 11, 13, 12, 10,  8,  7,  4,  4,  8,  7,  4,
   3,  4,  7,  4,  8,  7,  5,  2,  4,  7,  4,  7,  9,  6,  2,  4,  6,  4,  8,
  10,  7,  6,  4,  4,  6,  9, 10,  9,  8,  7,  4,  8, 10, 12, 12,  9,  7,  5,
  11, 12, 13, 13, 10,  8,  6, 26, 29, 33, 35, 36, 33, 29, 25, 29, 32, 35, 35,
  33, 30, 23, 27, 31, 33, 35, 35, 30, 22, 26, 30, 34, 37, 34, 31, 23, 25, 29,
  33, 37, 34, 31, 23, 25, 29, 33, 37, 35, 31, 20, 24, 27, 32, 34, 34, 31, 23,
  27, 30, 33, 32, 28, 25, 23, 26, 29, 32, 32, 29, 25, 22, 24, 28, 31, 31, 29,
  26, 21, 25, 28, 31, 31, 29, 27, 21, 23, 27, 31, 31, 30, 26, 20, 23, 26, 29,
  30, 30, 26, 17, 21, 25, 27, 28, 29, 27, 22, 25, 26, 26, 26, 23, 19, 21, 24,
  25, 25, 25, 24, 18, 20, 22, 24, 24, 24, 24, 19, 17, 23, 24, 24, 25, 24, 20,
  15, 22, 23, 23, 24, 23, 20, 13, 20, 22, 22, 22, 22, 20, 15, 18, 20, 21, 21,
  21, 19, 19, 19, 19, 19, 19, 16,  7, 17, 18, 18, 18, 18, 15,  9, 13, 17, 17,
  17, 17, 15, 10, 10, 17, 17, 17, 17, 15, 13, 12, 16, 16, 16, 16, 14, 10, 12,
  14, 14, 14, 15, 14,  7, 15, 15, 12, 13, 13, 13,  5,  9, 11, 12, 11, 10,  5,
   7,  6, 11, 10, 10,  9,  5,  8,  6,  9,  9,  9,  8,  5,  7,  5,  7,  8,  8,
   8,  4,  6,  7,  5,  7,  7,  7,  5,  5,  9,  9, 11,  9,  7,  6,  5, 12, 14,
  14, 10,  8,  7,  5,  2,  2,  2,  2,  3,  4,  5,  2,  1,  0,  1,  2,  4,  5,
   2,  2,  2,  2,  2,  4,  6,  2,  4,  6,  6,  4,  4,  5,  4,  7, 11, 11,  9,
   7,  5,  7, 12, 17, 15, 11,  8,  5, 12, 16, 19, 18, 13,  9,  6,  4, 10,  9,
   4,  2,  3,  4,  4, 10, 12,  6,  1,  3,  4,  4, 10, 14,  8,  3,  3,  4,  4,
  11, 17, 12,  7,  5,  5,  7, 13, 19, 17, 12,  9,  6, 10, 17, 22, 21, 15, 10,
   7, 15, 19, 23, 23, 17, 11,  8, 26, 28, 32, 35, 35, 32, 29, 25, 27, 31, 34,
  35, 31, 29, 23, 26, 30, 34, 35, 33, 29, 22, 25, 30, 33, 36, 34, 31, 23, 25,
  29, 33, 37, 35, 29, 23, 25, 28, 32, 35, 34, 32, 20, 23, 27, 31, 34, 34, 31,
  23, 26, 29, 32, 31, 27, 23, 22, 25, 29, 32, 30, 27, 24, 22, 24, 28, 31, 31,
  29, 25, 21, 24, 27, 31, 31, 30, 25, 21, 24, 27, 30, 30, 29, 26, 20, 23, 26,
  30, 29, 29, 25, 18, 21, 24, 28, 27, 28, 25, 22, 24, 25, 25, 25, 23, 17, 20,
  22, 25, 25, 24, 22, 17, 19, 22, 24, 24, 24, 22, 17, 17, 23, 23, 23, 24, 23,
  19, 15, 23, 23, 24, 23, 23, 19, 13, 20, 22, 22, 22, 22, 19, 15, 19, 20, 20,
  21, 21, 18, 20, 19, 18, 18, 18, 15,  6, 17, 18, 18, 17, 17, 14,  8, 13, 17,
  17, 17, 16, 14, 10, 10, 17, 17, 17, 17, 14, 13, 12, 16, 16, 16, 15, 14, 10,
  13, 14, 14, 14, 14, 13,  7, 16, 16, 13, 13, 13, 13,  5,  9, 12, 11, 11,  9,
   4,  6,  6, 10, 10,  9,  8,  4,  8,  6,  9,  8,  9,  8,  4,  6,  5,  7,  9,
   8,  8,  4,  6,  7,  6,  7,  7,  7,  6,  5,  9, 10, 12, 10,  8,  7,  5, 13,
  16, 15, 12,  9,  8,  6,  2,  2,  2,  2,  2,  3,  4,  2,  1,  1,  0,  2,  3,
   4,  2,  2,  3,  3,  2,  3,  4,  2,  4,  7,  7,  5,  5,  5,  4,  8, 12, 11,
   9,  8,  6,  8, 13, 18, 16, 11,  8,  6, 14, 18, 20, 18, 13,  9,  7,  5,  8,
   7,  3,  1,  2,  3,  5,  8,  8,  4,  0,  2,  4,  5,  8, 10,  7,  4,  3,  4,
   5, 10, 14, 11,  8,  6,  6,  8, 13, 18, 17, 12,  9,  7, 11, 17, 22, 22, 15,
  11,  8, 16, 21, 23, 23, 18, 12,  8, 22, 25, 28, 31, 32, 29, 26, 21, 23, 27,
  31, 32, 27, 25, 19, 23, 26, 29, 32, 29, 27, 19, 23, 26, 30, 32, 30, 27, 20,
  22, 26, 29, 32, 31, 28, 19, 22, 25, 29, 32, 30, 27, 17, 20, 24, 27, 31, 31,
  27, 20, 23, 26, 29, 28, 24, 21, 18, 22, 25, 28, 27, 24, 21, 18, 20, 24, 27,
  27, 26, 21, 17, 21, 25, 27, 26, 25, 22, 19, 21, 24, 26, 26, 26, 22, 16, 20,
  22, 25, 26, 26, 23, 16, 18, 21, 24, 25, 24, 22, 18, 20, 21, 22, 23, 19, 15,
  17, 19, 21, 21, 21, 20, 15, 17, 19, 20, 20, 20, 20, 15, 15, 19, 20, 20, 21,
  20, 16, 14, 19, 20, 20, 20, 19, 16, 12, 17, 18, 19, 19, 18, 16, 17, 17, 17,
  17, 17, 17, 16, 16, 15, 15, 15, 16, 13,  4, 14, 14, 14, 14, 14, 12,  5, 12,
  14, 13, 14, 13, 12,  8,  8, 14, 14, 13, 13, 12, 10, 10, 13, 13, 13, 12, 11,
   7, 12, 12, 11, 11, 11, 11,  5, 17, 18, 14, 10, 10, 10,  5,  7,  8,  7,  7,
   7,  3,  4,  3,  7,  6,  6,  6,  3,  5,  3,  6,  5,  6,  5,  3,  4,  3,  4,
   5,  5,  5,  4,  4,  5,  7,  8,  8,  8,  7,  5,  9, 13, 14, 12,  9,  7,  6,
  15, 18, 18, 13, 11,  8,  6,  1,  2,  2,  2,  2,  2,  3,  2,  3,  2,  2,  0,
   3,  3,  2,  4,  3,  3,  3,  2,  3,  2,  6,  8,  7,  6,  5,  5,  6, 10, 13,
  12, 10,  8,  6, 11, 16, 19, 16, 12,  9,  7, 16, 20, 21, 18, 14, 10,  7,  6,
   7,  5,  3,  1,  2,  2,  6,  7,  7,  3,  2,  2,  3,  5,  7,  8,  5,  4,  3,
   3,  6,  8, 12, 10,  8,  7,  7,  9, 12, 16, 16, 13, 10,  7, 13, 17, 20, 21,
  15, 12,  8, 18, 21, 21, 21, 17, 13,  9, 17, 21, 24, 28, 28, 26, 22, 17, 19,
  24, 28, 28, 24, 21, 15, 19, 22, 25, 27, 25, 22, 15, 18, 21, 25, 29, 26, 22,
  15, 18, 21, 24, 28, 26, 23, 14, 17, 20, 24, 28, 26, 23, 15, 16, 19, 23, 25,
  27, 23, 16, 19, 22, 25, 24, 22, 18, 14, 18, 21, 23, 23, 21, 16, 13, 16, 20,
  22, 22, 20, 18, 13, 16, 20, 23, 22, 22, 19, 13, 16, 19, 22, 22, 21, 19, 12,
  14, 18, 21, 21, 21, 19, 17, 16, 17, 19, 20, 20, 18, 14, 16, 17, 18, 19, 17,
  13, 13, 15, 16, 17, 17, 16, 12, 12, 14, 15, 16, 16, 16, 12, 11, 14, 16, 16,
  16, 16, 13, 11, 14, 15, 15, 15, 15, 13, 12, 13, 14, 14, 14, 14, 13, 19, 18,
  14, 13, 13, 13, 12, 12, 11, 10, 11, 12, 12,  4, 11, 10, 10, 10, 10, 10,  3,
   9,  9,  9,  9,  9,  9,  4,  6,  9,  9,  9,  9,  9,  7,  7,  8,  8,  8,  8,
   7,  4, 12, 14, 12, 10,  8,  7,  4, 18, 20, 14, 12,  9,  7,  5,  4,  3,  3,
   3,  4,  3,  4,  1,  2,  2,  2,  2,  2,  3,  1,  1,  1,  2,  2,  2,  3,  1,
   5,  5,  5,  5,  4,  4,  5, 10,  9,  9,  9,  7,  5, 12, 15, 16, 13, 10,  8,
   6, 17, 20, 18, 14, 11,  9,  6,  4,  5,  3,  3,  2,  2,  3,  4,  6,  4,  3,
   2,  0,  2,  4,  7,  5,  5,  3,  3,  2,  4,  8,  9,  8,  7,  6,  5,  8, 12,
  14, 13, 11,  9,  6, 12, 16, 20, 17, 12, 10,  7, 18, 21, 21, 19, 14, 11,  8,
   8, 10,  6,  4,  3,  2,  2,  8, 10,  8,  5,  3,  2,  1,  8, 10, 10,  7,  5,
   4,  3,  9, 10, 14, 11,  9,  8,  7, 10, 14, 17, 16, 14, 11,  8, 14, 18, 21,
  21, 16, 12,  9, 19, 21, 23, 22, 18, 13, 10, 14, 16, 21, 24, 24, 21, 18, 13,
  16, 19, 23, 24, 20, 17, 11, 14, 18, 21, 23, 20, 18, 10, 14, 18, 21, 24, 21,
  18, 11, 14, 17, 20, 24, 22, 18, 10, 13, 16, 19, 23, 22, 18, 15, 14, 15, 18,
  22, 21, 18, 11, 14, 18, 21, 20, 17, 14, 11, 14, 17, 20, 20, 16, 13,  9, 12,
  15, 18, 18, 16, 14,  9, 12, 15, 18, 17, 17, 14,  9, 12, 15, 17, 17, 17, 14,
  11, 12, 13, 16, 16, 16, 14, 18, 16, 14, 15, 15, 15, 14, 10, 12, 14, 14, 16,
  13,  9,  9, 11, 12, 13, 13, 12,  8,  7, 10, 12, 11, 11, 12,  8,  7, 10, 11,
  11, 11, 11,  9,  6,  9, 11, 11, 10, 10,  9, 13, 13, 12, 10,  9,  9,  9, 19,
  17, 15, 11,  9,  8,  8,  8,  7,  6,  7,  8,  9,  3,  7,  6,  6,  6,  6,  6,
   2,  6,  5,  5,  5,  4,  4,  2,  4,  5,  4,  4,  4,  4,  4,  7,  8,  8,  7,
   7,  6,  4, 14, 15, 13, 11,  8,  7,  5, 19, 20, 15, 12,  9,  7,  6,  2,  2,
   1,  2,  2,  2,  3,  3,  3,  2,  2,  2,  2,  2,  3,  3,  3,  3,  3,  2,  2,
   3,  6,  6,  6,  6,  5,  5,  7, 11, 11, 10,  9,  8,  5, 13, 16, 16, 13, 11,
   9,  7, 19, 20, 19, 15, 12, 10,  7,  7,  6,  4,  3,  3,  3,  3,  7,  7,  5,
   4,  3,  2,  0,  7,  9,  6,  6,  4,  3,  3,  7, 10, 10, 10,  8,  7,  6,  9,
  14, 16, 15, 12, 10,  7, 15, 18, 22, 20, 14, 10,  8, 19, 21, 23, 21, 16, 12,
   9, 10, 12,  9,  5,  3,  3,  2, 10, 12, 11,  6,  3,  2,  2, 10, 12, 13,  9,
   6,  5,  4, 10, 13, 17, 13, 11,  9,  8, 13, 16, 21, 20, 16, 12,  9, 16, 21,
  25, 24, 18, 13, 10, 20, 23, 25, 26, 20, 15, 11, 24, 26, 29, 32, 32, 30, 26,
  23, 25, 28, 31, 31, 29, 26, 22, 24, 27, 29, 31, 28, 26, 20, 23, 26, 29, 30,
  29, 27, 20, 23, 26, 29, 31, 28, 27, 19, 22, 24, 27, 30, 29, 26, 16, 20, 24,
  26, 29, 29, 27, 22, 24, 27, 29, 28, 26, 23, 21, 24, 27, 29, 27, 25, 24, 19,
  23, 25, 27, 27, 25, 23, 18, 21, 25, 27, 25, 25, 25, 18, 21, 24, 27, 26, 25,
  25, 16, 19, 23, 25, 25, 25, 24, 13, 16, 20, 24, 24, 25, 24, 19, 23, 23, 24,
  25, 23, 19, 18, 21, 22, 23, 24, 22, 20, 17, 20, 22, 22, 22, 23, 19, 15, 19,
  21, 21, 22, 22, 20, 14, 19, 19, 20, 21, 22, 20, 11, 17, 18, 19, 20, 20, 19,
  13, 14, 16, 17, 18, 19, 19, 17, 17, 17, 18, 18, 18,  7, 15, 16, 16, 16, 17,
  16,  8, 13, 15, 15, 15, 15, 15, 10,  9, 14, 14, 14, 14, 14, 12,  9, 12, 12,
  13, 13, 14,  8, 10, 10, 10, 11, 11, 12,  6, 13, 13,  9,  9, 10, 10,  6,  8,
   8,  9, 10, 10,  6,  8,  4,  7,  7,  8,  8,  6,  9,  4,  6,  6,  5,  6,  5,
   8,  4,  4,  4,  4,  5,  5,  6,  5,  4,  4,  4,  4,  3,  6,  7,  7,  7,  6,
   4,  3,  5, 10, 10,  8,  6,  4,  3,  4,  0,  2,  2,  2,  2,  5,  7,  0,  3,
   2,  2,  2,  4,  8,  0,  4,  2,  2,  1,  4,  6,  0,  3,  3,  2,  1,  2,  5,
   2,  3,  5,  5,  3,  3,  4,  5,  6,  9,  8,  5,  3,  3,  8,  9, 10,  9,  6,
   4,  3,  4,  7,  6,  3,  2,  3,  6,  4,  7,  8,  4,  2,  2,  5,  4,  7,  9,
   4,  2,  0,  5,  4,  7, 10,  6,  3,  2,  3,  4,  7, 10,  9,  5,  4,  3,  5,
   9, 12, 11,  7,  4,  3,  7, 11, 12, 12,  8,  5,  3, 30, 32, 35, 39, 38, 37,
  32, 28, 32, 34, 37, 39, 36, 33, 27, 31, 33, 37, 38, 36, 32, 26, 29, 32, 35,
  38, 37, 34, 25, 28, 33, 36, 38, 37, 35, 24, 27, 31, 35, 38, 37, 35, 22, 25,
  31, 34, 36, 37, 34, 27, 31, 33, 36, 36, 32, 29, 26, 29, 33, 35, 34, 32, 28,
  24, 28, 32, 34, 35, 33, 30, 24, 27, 31, 34, 34, 33, 30, 23, 26, 29, 33, 32,
  33, 30, 21, 25, 29, 32, 32, 33, 30, 19, 22, 27, 30, 31, 31, 30, 24, 28, 28,
  29, 30, 28, 23, 23, 27, 28, 29, 29, 28, 22, 22, 25, 27, 28, 28, 28, 23, 20,
  25, 26, 27, 28, 27, 25, 17, 24, 25, 26, 26, 26, 24, 14, 23, 24, 24, 25, 26,
  24, 15, 19, 21, 23, 24, 25, 23, 22, 23, 23, 23, 23, 21, 11, 19, 21, 21, 21,
  22, 20, 12, 16, 20, 20, 20, 20, 19, 13, 12, 20, 19, 20, 19, 19, 16, 13, 17,
  18, 19, 19, 18, 12, 13, 15, 16, 17, 17, 17,  9, 15, 13, 14, 15, 16, 16,  8,
  10, 14, 14, 14, 14,  9, 11,  7, 12, 13, 13, 12,  9, 12,  7, 11, 11, 11, 11,
   7, 10,  7,  8, 10, 10, 10,  8,  9,  8,  6,  9,  8,  9,  6,  8,  9,  8,  8,
   7,  7,  4,  7, 11, 10,  9,  7,  5,  3,  6,  4,  3,  4,  4,  6,  8, 10,  4,
   2,  2,  2,  4,  7,  9,  4,  0,  1,  1,  3,  6,  8,  4,  1,  2,  1,  2,  4,
   7,  4,  3,  4,  4,  4,  3,  7,  6,  6,  8,  6,  5,  4,  5,  8,  9,  9,  6,
   5,  4,  4,  2,  5,  3,  2,  3,  6,  9,  2,  5,  4,  3,  2,  5,  9,  2,  5,
   5,  3,  0,  4,  7,  2,  5,  6,  2,  2,  3,  5,  2,  4,  7,  5,  4,  4,  4,
   5,  6,  8,  8,  5,  4,  4,  8,  8,  9,  9,  6,  5,  4, 29, 33, 36, 39, 39,
  36, 33, 28, 31, 34, 38, 38, 36, 32, 26, 29, 34, 37, 38, 35, 32, 25, 28, 31,
  36, 39, 36, 33, 25, 29, 31, 36, 39, 37, 34, 24, 27, 30, 34, 38, 37, 33, 22,
  26, 29, 33, 36, 37, 33, 26, 29, 34, 36, 34, 32, 29, 25, 29, 32, 36, 35, 32,
  27, 24, 27, 30, 34, 34, 31, 28, 23, 26, 30, 33, 33, 32, 28, 24, 27, 30, 32,
  32, 31, 29, 22, 25, 29, 32, 32, 32, 29, 19, 23, 27, 30, 30, 30, 28, 24, 27,
  28, 29, 30, 26, 22, 23, 25, 28, 28, 28, 27, 21, 22, 25, 27, 26, 27, 26, 21,
  18, 25, 25, 25, 26, 25, 21, 16, 24, 25, 25, 26, 25, 22, 13, 22, 24, 24, 24,
  24, 22, 15, 20, 22, 23, 23, 23, 20, 22, 22, 22, 22, 23, 19, 10, 18, 20, 21,
  22, 21, 18, 11, 15, 20, 20, 20, 19, 17, 12, 11, 19, 19, 19, 18, 16, 15, 13,
  17, 18, 18, 19, 16, 11, 13, 15, 16, 16, 16, 15,  8, 15, 14, 14, 15, 15, 14,
   6, 10, 14, 14, 14, 12,  6, 10,  7, 13, 12, 13, 11,  6, 11,  7, 11, 11, 11,
  10,  5,  8,  7,  8, 10, 10,  9,  5,  8,  8,  6,  9,  9,  8,  5,  6,  9,  8,
   9,  7,  7,  5,  6, 11, 12, 12,  9,  6,  5,  5,  3,  4,  4,  5,  4,  5,  7,
   3,  2,  2,  3,  3,  5,  6,  3,  1,  0,  0,  3,  5,  7,  2,  2,  4,  4,  2,
   4,  5,  4,  5,  9,  8,  8,  5,  5,  6, 10, 15, 13, 10,  6,  4, 10, 14, 17,
  15, 11,  8,  4,  2,  8,  8,  2,  3,  4,  6,  2,  8, 10,  4,  2,  4,  6,  2,
   8, 12,  5,  1,  3,  5,  2,  9, 14,  9,  5,  4,  5,  5, 11, 16, 14, 10,  8,
   4,  8, 14, 19, 18, 13,  9,  5, 13, 18, 19, 19, 15, 10,  6, 28, 32, 36, 38,
  38, 35, 33, 27, 30, 35, 37, 39, 36, 31, 26, 29, 33, 36, 39, 34, 32, 24, 27,
  31, 35, 37, 35, 32, 25, 27, 31, 35, 37, 36, 33, 23, 26, 30, 33, 37, 35, 33,
  21, 25, 29, 31, 35, 35, 32, 25, 29, 33, 37, 35, 31, 27, 25, 29, 31, 36, 34,
  32, 27, 24, 26, 31, 33, 33, 30, 26, 23, 25, 29, 32, 32, 30, 26, 22, 25, 29,
  32, 32, 31, 26, 21, 25, 27, 31, 30, 29, 27, 19, 22, 26, 30, 29, 28, 27, 24,
  26, 29, 29, 30, 27, 20, 22, 25, 28, 28, 28, 26, 20, 21, 23, 26, 26, 26, 24,
  19, 18, 25, 25, 24, 25, 23, 19, 16, 23, 24, 24, 24, 23, 20, 13, 22, 23, 23,
  23, 23, 20, 15, 20, 21, 21, 21, 22, 18, 20, 21, 21, 22, 23, 18, 11, 18, 20,
  20, 21, 21, 17, 11, 14, 19, 18, 19, 18, 15, 12, 11, 18, 18, 17, 18, 15, 14,
  12, 16, 17, 17, 17, 14, 11, 13, 15, 16, 16, 16, 13,  7, 14, 14, 14, 14, 15,
  13,  5,  9, 14, 13, 15, 12,  7, 11,  6, 13, 12, 13, 12,  6, 11,  6, 10, 11,
  10,  9,  4,  7,  6,  7, 10,  9,  8,  4,  7,  8,  6,  8,  8,  7,  4,  4,  9,
   8,  9,  8,  6,  4,  4, 11, 12, 12,  9,  6,  5,  4,  2,  4,  4,  5,  4,  6,
   8,  2,  2,  2,  3,  3,  5,  6,  2,  1,  0,  0,  3,  3,  5,  2,  2,  4,  4,
   2,  3,  4,  4,  5,  9,  8,  7,  5,  4,  6, 10, 15, 13,  9,  6,  4, 10, 14,
  16, 15, 10,  7,  4,  3,  7,  6,  2,  3,  5,  6,  3,  7,  7,  4,  2,  3,  4,
   3,  7,  8,  5,  1,  2,  4,  3,  8, 11,  9,  4,  4,  4,  5, 11, 15, 14,  9,
   7,  4,  8, 14, 19, 19, 12,  8,  5, 13, 17, 20, 20, 14,  9,  6, 24, 29, 32,
  35, 36, 33, 29, 23, 27, 31, 34, 35, 32, 28, 22, 25, 28, 33, 34, 31, 27, 20,
  22, 26, 30, 32, 30, 28, 21, 23, 26, 30, 34, 31, 27, 20, 22, 26, 29, 33, 31,
  27, 17, 21, 24, 27, 31, 32, 28, 22, 25, 30, 33, 31, 28, 25, 21, 23, 27, 31,
  32, 28, 23, 20, 22, 27, 29, 28, 26, 22, 19, 21, 24, 27, 27, 26, 22, 20, 21,
  24, 27, 27, 27, 22, 18, 20, 23, 25, 26, 26, 23, 14, 18, 22, 25, 25, 24, 22,
  20, 23, 24, 25, 27, 23, 19, 19, 21, 24, 24, 25, 22, 17, 18, 21, 22, 22, 22,
  21, 16, 16, 20, 21, 21, 21, 21, 16, 14, 20, 20, 20, 20, 19, 16, 11, 17, 19,
  19, 19, 19, 16, 14, 15, 17, 17, 18, 18, 15, 18, 18, 17, 18, 19, 17,  9, 15,
  16, 16, 17, 17, 15,  9, 12, 16, 15, 15, 14, 12,  8,  9, 16, 14, 13, 13, 12,
  11, 10, 14, 13, 13, 12, 11,  8, 11, 11, 11, 11, 11, 10,  4, 14, 14, 10, 10,
  10, 10,  3,  7,  9, 10, 10, 10,  6,  9,  4,  9,  8,  9,  9,  4,  9,  4,  7,
   6,  6,  6,  3,  5,  4,  6,  6,  5,  5,  2,  4,  6,  5,  5,  5,  5,  4,  3,
   7, 10, 11,  9,  6,  5,  3, 12, 14, 14, 10,  8,  6,  4,  1,  1,  1,  2,  4,
   5,  7,  1,  2,  2,  2,  3,  3,  4,  1,  3,  4,  3,  0,  2,  4,  1,  5,  5,
   4,  4,  3,  3,  3,  7, 10,  9,  8,  6,  4,  8, 12, 16, 13,  9,  6,  4, 13,
  16, 18, 15, 11,  7,  5,  5,  6,  5,  3,  2,  4,  5,  4,  6,  6,  4,  2,  2,
   3,  4,  6,  7,  3,  2,  1,  2,  4,  7,  9,  7,  6,  4,  4,  6,  9, 13, 13,
  10,  7,  5, 10, 14, 17, 17, 13,  9,  6, 15, 18, 18, 18, 14, 10,  6, 20, 24,
  28, 32, 32, 29, 25, 19, 23, 26, 31, 31, 28, 24, 17, 21, 25, 28, 30, 26, 23,
  17, 19, 23, 26, 29, 26, 23, 16, 18, 21, 25, 29, 27, 23, 15, 18, 21, 24, 27,
  26, 23, 12, 16, 19, 23, 26, 27, 23, 17, 21, 25, 29, 28, 24, 21, 16, 20, 24,
  28, 27, 24, 20, 16, 18, 23, 25, 25, 21, 18, 15, 17, 20, 23, 22, 22, 19, 14,
  17, 20, 22, 22, 22, 18, 12, 16, 18, 21, 21, 21, 18, 13, 14, 17, 20, 20, 20,
  19, 15, 18, 21, 22, 23, 20, 16, 14, 17, 19, 21, 21, 19, 15, 14, 16, 18, 18,
  18, 18, 13, 13, 16, 16, 16, 16, 16, 13, 12, 15, 16, 16, 16, 15, 13, 10, 12,
  14, 14, 14, 14, 13, 15, 15, 12, 12, 13, 13, 12, 14, 13, 13, 14, 15, 15,  7,
  13, 12, 12, 13, 13, 13,  6, 10, 11, 11, 10, 10, 10,  5,  6, 10,  9,  9,  9,
   9,  7,  7,  9,  8,  8,  8,  8,  4, 10, 10,  9,  7,  7,  7,  2, 15, 16, 11,
   8,  6,  5,  3,  5,  5,  6,  6,  7,  6,  7,  1,  3,  4,  5,  5,  4,  6,  1,
   2,  2,  2,  2,  2,  3,  1,  3,  2,  2,  2,  2,  2,  4,  7,  7,  6,  6,  4,
   2,  9, 12, 12, 10,  7,  5,  3, 14, 16, 15, 11,  9,  6,  4,  3,  4,  3,  3,
   3,  5,  6,  3,  5,  4,  3,  3,  3,  3,  3,  6,  5,  4,  2,  0,  2,  4,  6,
   6,  5,  4,  3,  3,  6,  9, 11, 10,  8,  6,  4, 10, 13, 16, 14, 10,  7,  4,
  14, 16, 18, 15, 11,  8,  5,  7,  8,  7,  4,  3,  4,  4,  6,  8,  8,  5,  3,
   2,  2,  7,  8,  9,  5,  3,  2,  1,  7,  8, 11,  8,  6,  5,  4,  8, 11, 14,
  14, 11,  8,  5, 12, 15, 18, 18, 13,  9,  6, 16, 18, 19, 19, 14, 10,  7, 17,
  20, 25, 28, 28, 26, 21, 15, 19, 23, 27, 28, 25, 20, 14, 18, 21, 25, 27, 22,
  19, 12, 16, 19, 22, 24, 22, 19, 12, 14, 17, 21, 24, 23, 19, 10, 14, 16, 20,
  23, 22, 19, 11, 12, 15, 19, 22, 22, 19, 14, 17, 22, 25, 24, 22, 17, 13, 16,
  20, 24, 23, 20, 16, 12, 15, 19, 21, 21, 18, 15, 10, 13, 16, 18, 19, 17, 14,
  10, 13, 15, 18, 18, 18, 15,  9, 11, 14, 17, 17, 17, 14, 13, 12, 13, 15, 16,
  16, 14, 12, 15, 16, 18, 19, 17, 13, 10, 13, 16, 16, 17, 16, 12,  9, 12, 14,
  14, 14, 14, 10,  8, 11, 12, 12, 12, 12, 10,  7, 10, 11, 11, 11, 11, 10, 11,
  10, 10, 10, 10, 10,  9, 14, 13, 10,  9,  9,  9,  8,  9,  9, 10, 11, 12, 13,
   7,  8,  8,  9,  9, 10, 10,  5,  7,  6,  7,  7,  6,  7,  3,  4,  6,  5,  5,
   5,  5,  4,  6,  6,  5,  4,  5,  4,  2, 11, 11,  9,  7,  5,  4,  2, 14, 14,
  10,  8,  6,  4,  3,  0,  1,  2,  3,  4,  5,  6,  2,  2,  2,  3,  3,  3,  4,
   2,  3,  3,  2,  2,  1,  2,  2,  6,  4,  3,  3,  3,  2,  6,  9,  8,  7,  6,
   5,  2, 10, 12, 12,  9,  7,  6,  3, 13, 14, 14, 11,  8,  6,  4,  6,  6,  5,
   4,  4,  4,  6,  6,  8,  6,  4,  3,  2,  3,  6,  8,  7,  5,  3,  2,  0,  6,
   9,  8,  6,  5,  4,  3,  8, 11, 13, 11,  9,  6,  4, 11, 14, 17, 15, 10,  7,
   5, 14, 16, 18, 16, 12,  8,  6,  9, 10,  8,  6,  4,  4,  4, 10, 10, 10,  6,
   4,  2,  2,  9, 10, 11,  6,  4,  3,  2,  9, 11, 14, 10,  7,  6,  5, 10, 13,
  17, 15, 11,  8,  6, 13, 16, 20, 19, 13,  9,  6, 16, 19, 20, 20, 15, 11,  7,
  24, 27, 29, 31, 31, 31, 27, 23, 26, 28, 31, 32, 28, 27, 21, 24, 27, 30, 31,
  28, 25, 20, 24, 27, 29, 30, 29, 27, 20, 23, 26, 28, 30, 28, 26, 18, 22, 24,
  27, 31, 29, 26, 16, 20, 24, 26, 29, 28, 26, 21, 24, 28, 29, 28, 26, 23, 21,
  23, 25, 28, 28, 26, 23, 19, 23, 26, 28, 26, 26, 24, 18, 21, 25, 26, 26, 26,
  25, 17, 21, 24, 26, 25, 26, 24, 16, 19, 22, 25, 26, 25, 24, 13, 16, 21, 24,
  24, 25, 24, 19, 23, 24, 24, 25, 23, 20, 18, 21, 22, 23, 23, 23, 19, 17, 21,
  22, 22, 22, 23, 19, 15, 20, 21, 21, 22, 22, 20, 14, 18, 20, 20, 21, 21, 20,
  11, 16, 18, 19, 20, 20, 20, 13, 14, 16, 17, 18, 19, 19, 17, 17, 18, 18, 18,
  18,  8, 15, 15, 16, 17, 17, 16,  9, 13, 15, 15, 15, 15, 15, 10,  9, 13, 14,
  14, 15, 15, 12,  9, 12, 13, 13, 13, 14,  8, 10, 10, 10, 11, 11, 12,  6, 13,
  13,  9,  9, 10, 11,  6,  8,  8,  9,  9, 10,  6,  8,  4,  7,  8,  8,  8,  6,
   9,  4,  6,  5,  6,  6,  5,  7,  4,  4,  4,  4,  5,  5,  7,  5,  4,  4,  4,
   4,  3,  6,  7,  7,  7,  6,  4,  3,  5, 10, 10,  8,  6,  4,  3,  4,  0,  2,
   2,  2,  2,  5,  7,  0,  3,  2,  2,  2,  4,  8,  0,  4,  3,  2,  1,  4,  6,
   0,  3,  3,  2,  1,  2,  5,  2,  3,  5,  5,  3,  3,  4,  5,  6,  9,  8,  4,
   3,  3,  8,  9, 10,  9,  6,  4,  3,  4,  7,  6,  3,  2,  3,  6,  4,  7,  8,
   4,  2,  2,  5,  4,  7,  9,  4,  2,  0,  5,  4,  7, 10,  6,  3,  2,  3,  4,
   7, 11,  9,  5,  3,  3,  5,  9, 12, 12,  7,  4,  3,  7, 10, 12, 13,  8,  5,
   3, 30, 34, 37, 40, 39, 38, 34, 29, 34, 37, 40, 40, 38, 34, 28, 32, 35, 39,
  38, 38, 34, 27, 29, 34, 37, 39, 36, 33, 25, 28, 32, 35, 39, 37, 33, 23, 28,
  31, 34, 38, 37, 34, 21, 25, 29, 33, 36, 36, 34, 28, 32, 35, 37, 37, 34, 31,
  26, 31, 34, 37, 36, 33, 31, 25, 29, 33, 34, 35, 33, 30, 24, 28, 31, 33, 33,
  33, 30, 23, 26, 29, 32, 33, 32, 30, 20, 24, 28, 31, 32, 32, 30, 18, 22, 26,
  30, 30, 30, 28, 25, 30, 32, 32, 32, 30, 25, 24, 27, 30, 31, 32, 30, 25, 22,
  26, 28, 29, 29, 28, 24, 20, 25, 26, 27, 27, 27, 24, 16, 23, 25, 26, 26, 27,
  24, 13, 22, 24, 23, 25, 25, 24, 13, 18, 21, 22, 23, 23, 22, 23, 24, 24, 25,
  26, 23, 14, 19, 22, 22, 23, 23, 22, 14, 16, 21, 21, 21, 23, 20, 15, 12, 19,
  19, 19, 19, 18, 15, 12, 17, 18, 18, 18, 17, 12, 12, 14, 15, 16, 16, 16,  9,
  14, 12, 13, 14, 15, 15,  7, 10, 15, 16, 16, 15, 11, 13,  7, 13, 14, 15, 14,
  10, 13,  7, 11, 12, 12, 12,  8, 12,  7,  8, 10, 10, 10,  7,  8,  7,  5,  8,
   8,  8,  5,  8,  8,  7,  6,  6,  6,  3,  8, 10,  9,  8,  6,  4,  3,  6,  3,
   5,  6,  6,  7,  9, 11,  3,  3,  4,  4,  6,  8, 10,  3,  1,  2,  2,  4,  6,
   9,  3,  0,  2,  2,  2,  5,  7,  3,  2,  3,  3,  3,  3,  6,  5,  5,  7,  5,
   3,  3,  4,  7,  8,  7,  5,  4,  3,  3,  2,  4,  4,  2,  5,  7, 10,  2,  4,
   5,  3,  4,  6,  9,  2,  5,  6,  3,  2,  5,  6,  2,  4,  5,  3,  1,  2,  5,
   2,  4,  6,  5,  3,  3,  3,  4,  5,  7,  7,  4,  3,  3,  7,  7,  8,  9,  5,
   3,  3, 33, 36, 41, 43, 44, 41, 38, 31, 35, 39, 43, 44, 41, 37, 30, 35, 37,
  41, 43, 38, 35, 29, 33, 35, 39, 41, 38, 34, 27, 29, 33, 38, 40, 37, 33, 25,
  28, 32, 36, 40, 38, 34, 23, 26, 32, 34, 37, 38, 35, 30, 34, 38, 40, 40, 37,
  33, 29, 33, 36, 40, 40, 37, 32, 26, 32, 35, 39, 38, 35, 32, 26, 29, 32, 36,
  35, 33, 31, 25, 27, 30, 34, 34, 33, 29, 22, 26, 29, 33, 32, 32, 30, 19, 24,
  27, 31, 31, 32, 29, 27, 31, 34, 34, 34, 32, 27, 26, 29, 32, 33, 33, 32, 26,
  24, 28, 30, 31, 31, 30, 24, 20, 27, 27, 28, 28, 27, 23, 16, 25, 26, 27, 27,
  26, 23, 13, 24, 24, 25, 25, 26, 23, 14, 21, 23, 23, 24, 24, 22, 23, 25, 26,
  27, 28, 25, 17, 20, 24, 25, 26, 25, 22, 16, 15, 23, 23, 23, 23, 21, 17, 12,
  20, 20, 20, 19, 18, 16, 12, 17, 19, 19, 19, 16, 13, 13, 14, 17, 17, 17, 16,
   9, 14, 12, 15, 16, 16, 15,  7, 11, 17, 18, 19, 17, 12, 16,  8, 15, 16, 17,
  16, 10, 16,  8, 12, 14, 14, 13,  8, 12,  8,  8, 11, 11, 10,  7,  9,  8,  5,
  10, 10,  9,  5,  6,  8,  7,  7,  7,  7,  4,  8, 10,  9,  8,  6,  6,  3,  5,
   3,  7,  8,  9,  8, 10, 13,  3,  5,  6,  7,  7,  9, 10,  3,  2,  4,  4,  5,
   6,  8,  3,  2,  0,  0,  3,  6,  6,  3,  2,  5,  5,  4,  3,  5,  5,  6, 11,
  10,  6,  3,  5,  7, 11, 13, 11,  8,  4,  4,  1,  7,  7,  4,  7,  9, 10,  1,
   7,  9,  3,  6,  7,  9,  1,  7, 11,  4,  3,  5,  6,  1,  7, 11,  6,  1,  2,
   5,  1,  7, 12, 10,  7,  4,  3,  4, 10, 13, 13, 10,  5,  3,  9, 13, 14, 15,
  11,  7,  3, 33, 36, 40, 42, 44, 41, 37, 30, 34, 38, 44, 43, 40, 35, 29, 33,
  38, 41, 42, 38, 34, 28, 31, 35, 37, 40, 37, 32, 26, 28, 32, 35, 39, 36, 33,
  25, 27, 30, 34, 38, 36, 33, 23, 26, 30, 33, 36, 36, 33, 29, 33, 36, 41, 38,
  36, 32, 28, 32, 36, 39, 38, 35, 31, 26, 30, 33, 37, 36, 33, 29, 25, 27, 32,
  34, 34, 31, 28, 24, 26, 30, 32, 33, 32, 28, 22, 25, 28, 31, 31, 31, 28, 18,
  23, 27, 29, 30, 30, 27, 27, 31, 33, 33, 34, 31, 25, 25, 28, 31, 32, 32, 30,
  23, 22, 27, 29, 30, 30, 28, 22, 19, 25, 26, 26, 27, 26, 21, 15, 25, 25, 26,
  25, 24, 21, 12, 23, 24, 24, 24, 23, 21, 13, 20, 21, 22, 23, 22, 19, 22, 24,
  25, 25, 27, 23, 16, 18, 22, 24, 24, 24, 21, 15, 14, 21, 23, 22, 21, 18, 15,
  12, 19, 19, 19, 19, 15, 15, 12, 16, 19, 18, 17, 14, 12, 13, 14, 16, 16, 16,
  14,  8, 13, 12, 14, 15, 15, 14,  5, 10, 17, 17, 18, 16, 12, 16,  7, 15, 16,
  16, 15,  9, 16,  7, 11, 14, 13, 12,  7, 11,  7,  7, 11, 10,  9,  4,  7,  7,
   5, 10,  9,  8,  3,  5,  8,  7,  7,  7,  7,  3,  5, 10,  9,  8,  5,  5,  2,
   4,  2,  7,  8,  8,  8, 10, 13,  2,  5,  6,  7,  7,  8, 10,  2,  1,  4,  4,
   4,  5,  6,  2,  2,  0,  0,  2,  4,  5,  3,  2,  5,  5,  4,  2,  4,  5,  6,
  11, 10,  6,  3,  3,  7, 10, 13, 12,  7,  4,  3,  2,  6,  6,  4,  7,  9, 10,
   1,  6,  7,  3,  6,  6,  7,  1,  6,  8,  4,  2,  3,  5,  1,  6,  8,  5,  1,
   2,  3,  1,  7, 11, 11,  6,  4,  3,  4, 10, 15, 15,  9,  5,  2,  9, 13, 16,
  16, 11,  6,  3, 28, 32, 36, 40, 41, 36, 33, 27, 31, 35, 39, 40, 35, 32, 26,
  29, 34, 36, 39, 35, 30, 24, 27, 31, 34, 36, 32, 29, 22, 25, 28, 31, 34, 32,
  29, 21, 24, 26, 30, 33, 32, 29, 19, 22, 25, 28, 33, 31, 29, 26, 29, 34, 37,
  35, 33, 29, 25, 28, 32, 36, 35, 32, 28, 23, 27, 31, 34, 33, 30, 25, 22, 25,
  28, 30, 30, 28, 24, 20, 22, 25, 28, 28, 27, 23, 19, 22, 24, 27, 27, 27, 24,
  16, 19, 23, 26, 25, 26, 24, 23, 26, 29, 29, 31, 28, 23, 22, 26, 28, 28, 29,
  26, 21, 20, 23, 26, 25, 26, 25, 19, 17, 22, 22, 22, 23, 22, 18, 13, 21, 21,
  21, 21, 21, 17, 11, 19, 20, 20, 20, 19, 17, 12, 17, 18, 19, 19, 19, 16, 20,
  21, 22, 22, 24, 22, 15, 16, 20, 20, 21, 22, 19, 13, 13, 18, 19, 18, 18, 16,
  13, 10, 16, 15, 15, 15, 13, 12,  9, 14, 15, 14, 14, 12,  9, 10, 12, 12, 12,
  12, 11,  6, 12, 10, 11, 11, 11, 11,  4,  8, 14, 14, 15, 14, 11, 14,  5, 12,
  12, 13, 13,  8, 13,  5, 10, 10, 10, 10,  6,  8,  5,  5,  7,  6,  6,  3,  5,
   5,  4,  5,  5,  5,  2,  3,  6,  6,  7,  5,  3,  2,  4,  8,  9,  9,  6,  4,
   2,  3,  1,  4,  5,  6,  8,  9, 12,  1,  2,  4,  5,  6,  7,  8,  1,  2,  2,
   2,  4,  4,  5,  1,  2,  4,  2,  0,  3,  4,  2,  4,  6,  6,  4,  2,  3,  4,
   8, 12, 10,  6,  3,  2,  8, 11, 13, 11,  7,  4,  2,  4,  5,  4,  4,  6,  8,
   9,  4,  5,  5,  4,  5,  6,  6,  4,  6,  6,  3,  2,  3,  3,  3,  7,  8,  4,
   3,  1,  2,  4,  6,  9,  9,  7,  4,  2,  6, 10, 13, 13,  9,  5,  2, 11, 13,
  14, 14, 10,  6,  3, 25, 28, 32, 36, 36, 34, 29, 23, 26, 31, 35, 35, 31, 28,
  22, 25, 29, 33, 33, 30, 25, 20, 23, 27, 30, 33, 28, 24, 17, 20, 23, 26, 29,
  27, 24, 16, 19, 22, 25, 28, 27, 24, 14, 17, 21, 24, 28, 27, 24, 21, 25, 29,
  32, 32, 28, 25, 21, 24, 28, 31, 32, 27, 23, 18, 22, 27, 29, 29, 25, 22, 19,
  20, 24, 27, 26, 24, 20, 16, 18, 20, 23, 23, 22, 20, 14, 17, 19, 22, 22, 22,
  19, 11, 14, 18, 21, 21, 21, 20, 19, 22, 25, 26, 27, 25, 20, 18, 21, 24, 25,
  24, 23, 19, 17, 20, 22, 22, 22, 22, 16, 15, 18, 18, 18, 19, 19, 14, 11, 16,
  16, 16, 16, 16, 14,  9, 14, 15, 15, 15, 15, 14,  9, 12, 13, 13, 14, 14, 13,
  17, 17, 18, 18, 20, 19, 12, 15, 15, 17, 17, 17, 16, 10, 11, 15, 15, 15, 14,
  14,  9,  7, 12, 11, 11, 11, 11,  9,  7, 10,  9,  9,  9,  8,  6,  8,  7,  8,
   8,  8,  7,  3,  9,  9,  6,  6,  6,  6,  3,  7,  9,  9, 10, 11, 10, 12,  3,
   8,  8,  9,  9,  7, 10,  3,  6,  6,  6,  6,  5,  6,  3,  3,  3,  2,  2,  2,
   3,  2,  4,  3,  3,  3,  1,  3,  5,  7,  7,  6,  4,  2,  2,  7,  9,  9,  7,
   5,  3,  2,  2,  3,  4,  5,  6,  8, 10,  2,  3,  4,  5,  5,  6,  7,  2,  4,
   4,  3,  3,  3,  4,  2,  5,  5,  4,  3,  0,  2,  2,  6,  8,  6,  5,  3,  2,
   6,  9, 12,  9,  6,  4,  1,  9, 11, 12, 11,  7,  5,  2,  6,  8,  6,  4,  6,
   7,  8,  6,  8,  7,  5,  5,  5,  5,  6,  8,  9,  4,  2,  2,  3,  6,  9, 11,
   5,  3,  2,  1,  6,  8, 10, 10,  7,  5,  2,  8, 11, 13, 12,  8,  5,  3, 10,
  13, 14, 14, 10,  6,  4, 20, 24, 28, 32, 31, 29, 25, 19, 23, 27, 31, 31, 28,
  24, 18, 21, 25, 28, 31, 27, 22, 17, 19, 22, 26, 28, 25, 19, 13, 16, 19, 22,
  26, 23, 20, 11, 15, 17, 20, 24, 23, 19, 10, 13, 16, 19, 23, 23, 20, 18, 22,
  25, 29, 28, 25, 21, 17, 21, 24, 27, 28, 24, 20, 15, 19, 23, 25, 24, 22, 18,
  14, 17, 19, 22, 22, 20, 16, 11, 14, 16, 18, 19, 19, 15, 10, 12, 15, 18, 18,
  18, 15,  7, 10, 14, 16, 16, 16, 15, 15, 19, 20, 22, 23, 21, 17, 14, 17, 20,
  21, 21, 19, 15, 13, 16, 18, 18, 18, 18, 13, 12, 14, 15, 14, 14, 14, 10,  9,
  11, 12, 12, 12, 11, 10,  5, 10, 11, 10, 11, 11, 11,  6,  8, 10,  9,  9,  9,
   9, 13, 13, 14, 15, 16, 16, 10, 12, 12, 12, 13, 13, 13,  8,  9, 10, 11, 10,
  10, 10,  7,  5,  8,  7,  7,  7,  7,  6,  4,  5,  5,  4,  4,  4,  3,  5,  4,
   3,  3,  3,  3,  2,  6,  6,  3,  2,  2,  2,  1,  4,  5,  6,  7,  7,  9, 10,
   2,  4,  5,  6,  6,  7,  8,  2,  3,  4,  4,  4,  4,  5,  2,  3,  3,  2,  2,
   1,  2,  1,  6,  4,  3,  3,  2,  1,  5,  6,  6,  4,  3,  2,  0,  5,  7,  7,
   5,  4,  3,  1,  5,  5,  5,  5,  6,  8,  9,  5,  6,  5,  5,  5,  5,  6,  5,
   7,  5,  4,  3,  3,  3,  5,  7,  6,  5,  4,  3,  0,  6,  8,  8,  6,  4,  3,
   1,  6,  9, 11,  8,  5,  3,  2,  7,  9, 11, 10,  6,  4,  2,  7,  9,  7,  5,
   6,  7,  7,  8, 10,  9,  5,  5,  5,  5,  8, 10, 10,  5,  3,  2,  2,  8,  9,
  11,  7,  4,  3,  2,  8,  9, 12, 10,  6,  4,  2,  8, 10, 14, 13,  8,  4,  3,
   9, 12, 14, 14,  9,  5,  3, 27, 31, 32, 35, 35, 33, 30, 25, 29, 33, 35, 35,
  32, 29, 23, 27, 30, 33, 34, 31, 29, 23, 26, 28, 31, 33, 28, 26, 20, 23, 25,
  28, 30, 28, 26, 18, 22, 24, 27, 30, 28, 26, 15, 19, 22, 26, 28, 28, 26, 24,
  28, 30, 33, 32, 30, 27, 23, 27, 30, 31, 31, 29, 26, 21, 25, 28, 31, 30, 28,
  26, 20, 24, 27, 28, 28, 25, 23, 18, 20, 23, 25, 25, 26, 23, 16, 18, 22, 25,
  25, 24, 23, 12, 15, 20, 23, 24, 24, 23, 22, 25, 27, 27, 28, 26, 23, 20, 24,
  26, 28, 28, 26, 22, 18, 23, 25, 25, 24, 26, 22, 17, 20, 22, 22, 22, 24, 20,
  12, 18, 19, 20, 20, 21, 19,  9, 15, 17, 18, 19, 20, 19, 10, 12, 15, 16, 17,
  19, 19, 18, 20, 20, 22, 22, 22, 12, 16, 18, 19, 20, 21, 20, 13, 13, 17, 17,
  18, 18, 18, 13,  9, 14, 14, 14, 15, 15, 12,  8, 12, 12, 12, 12, 13,  8,  9,
   9,  9, 10, 11, 11,  6, 10, 10,  7,  8,  9,  9,  7,  9, 11, 12, 13, 13, 10,
  12,  4,  9, 10, 11, 11,  9, 12,  4,  8,  8,  8,  9,  8, 10,  4,  4,  5,  5,
   5,  6,  6,  3,  2,  2,  2,  2,  3,  6,  5,  5,  5,  4,  2,  2,  6,  8,  8,
   6,  4,  2,  1,  5,  2,  3,  4,  4,  7,  9, 11,  2,  4,  4,  4,  6,  8,  9,
   2,  4,  4,  4,  3,  6,  8,  2,  3,  3,  3,  2,  2,  6,  0,  3,  4,  3,  2,
   1,  5,  3,  4,  7,  5,  2,  1,  3,  6,  7,  8,  7,  3,  2,  1,  5,  8,  7,
   5,  5,  8,  9,  5,  8,  9,  6,  4,  6,  9,  5,  8, 10,  6,  4,  3,  6,  5,
   7, 10,  5,  2,  2,  3,  4,  6,  9,  7,  3,  2,  1,  4,  7, 10,  9,  5,  2,
   1,  5,  9, 10, 10,  6,  3,  1, 34, 37, 40, 44, 42, 41, 38, 33, 35, 39, 43,
  43, 40, 37, 30, 34, 38, 41, 43, 39, 36, 29, 32, 35, 39, 41, 37, 33, 26, 30,
  32, 35, 39, 34, 33, 23, 26, 30, 33, 36, 37, 33, 21, 25, 29, 33, 36, 36, 34,
  31, 35, 38, 42, 40, 37, 35, 29, 33, 37, 40, 41, 36, 33, 28, 31, 34, 38, 38,
  36, 31, 26, 29, 33, 35, 35, 34, 29, 23, 26, 29, 32, 31, 31, 28, 20, 24, 27,
  30, 31, 33, 29, 17, 21, 26, 29, 30, 30, 29, 27, 31, 33, 36, 36, 33, 29, 26,
  30, 32, 34, 34, 33, 28, 24, 28, 31, 32, 33, 32, 27, 21, 27, 27, 28, 29, 28,
  24, 15, 23, 25, 25, 25, 25, 25, 12, 21, 23, 24, 24, 24, 24, 12, 18, 21, 22,
  22, 23, 22, 25, 26, 27, 29, 28, 28, 19, 20, 23, 26, 26, 27, 24, 18, 16, 22,
  24, 24, 24, 23, 17, 12, 20, 20, 20, 21, 20, 17, 11, 16, 17, 17, 17, 17, 13,
  11, 13, 15, 15, 16, 15, 10, 12, 10, 12, 14, 14, 14,  8, 12, 17, 18, 19, 20,
  16, 19,  8, 15, 17, 18, 18, 13, 18,  8, 13, 15, 15, 15, 11, 15,  8,  8, 11,
  10, 11,  8,  9,  6,  3,  8,  7,  8,  6,  7,  7,  5,  4,  5,  5,  5,  8,  8,
   7,  5,  3,  3,  4,  7,  3,  7,  8, 10, 11, 14, 16,  3,  6,  7,  8, 10, 12,
  13,  3,  3,  5,  5,  7,  9, 11,  3,  2,  2,  2,  4,  6,  8,  3,  0,  3,  2,
   1,  4,  7,  3,  3,  4,  3,  2,  3,  7,  5,  6,  5,  4,  2,  1,  5,  4,  6,
   6,  6, 10, 12, 14,  4,  6,  7,  5,  8, 10, 11,  3,  6,  7,  4,  4,  7,  9,
   4,  5,  7,  3,  2,  3,  5,  2,  4,  5,  4,  2,  1,  5,  3,  4,  6,  5,  3,
   2,  4,  4,  5,  6,  6,  3,  2,  2, 38, 41, 46, 49, 49, 47, 45, 37, 41, 44,
  48, 50, 45, 41, 35, 38, 43, 46, 48, 44, 40, 33, 36, 39, 43, 46, 43, 36, 31,
  33, 37, 40, 43, 41, 36, 27, 30, 35, 38, 41, 40, 36, 25, 28, 33, 37, 40, 40,
  37, 35, 40, 42, 46, 46, 42, 37, 33, 37, 42, 46, 46, 41, 37, 31, 36, 40, 43,
  44, 40, 35, 30, 33, 37, 39, 40, 38, 33, 25, 30, 33, 36, 37, 36, 32, 22, 27,
  32, 34, 35, 35, 32, 18, 25, 30, 33, 33, 34, 32, 31, 36, 38, 39, 41, 37, 32,
  29, 35, 37, 38, 39, 36, 31, 27, 33, 34, 36, 36, 35, 29, 23, 31, 32, 32, 33,
  31, 25, 17, 27, 28, 28, 28, 27, 25, 14, 25, 26, 27, 27, 27, 26, 13, 22, 25,
  25, 26, 26, 24, 26, 30, 31, 32, 33, 31, 23, 22, 28, 30, 31, 30, 29, 22, 19,
  25, 27, 28, 28, 26, 22, 15, 22, 24, 24, 24, 22, 20, 13, 17, 21, 21, 21, 18,
  17, 13, 14, 18, 19, 19, 18, 13, 13, 11, 17, 17, 18, 17, 10, 14, 21, 22, 24,
  23, 19, 23, 10, 19, 21, 21, 21, 15, 22, 10, 15, 19, 18, 18, 13, 17, 10,  9,
  15, 15, 15, 10, 12,  8,  5, 12, 12, 11,  7,  9,  9,  6,  9,  9,  9,  7,  8,
   9,  7,  7,  7,  7,  7,  7,  5, 11, 13, 13, 14, 17, 20,  5,  8, 11, 12, 13,
  14, 16,  5,  4,  9,  9, 10, 11, 12,  5,  3,  5,  5,  6,  8,  8,  4,  3,  0,
   0,  3,  6,  7,  4,  3,  6,  5,  1,  5,  8,  6,  5,  7,  6,  2,  4,  6,  4,
   5,  5,  9, 13, 15, 16,  4,  6,  7,  8, 11, 13, 14,  4,  5,  9,  5,  8,  9,
  11,  4,  5,  9,  4,  3,  6,  7,  2,  4,  7,  5,  2,  3,  7,  2,  5,  8,  7,
   4,  3,  5,  4,  7,  8,  8,  5,  1,  4, 36, 40, 45, 47, 48, 45, 42, 35, 40,
  43, 48, 47, 44, 40, 33, 37, 42, 45, 46, 43, 39, 32, 35, 39, 43, 44, 40, 35,
  30, 32, 35, 39, 41, 38, 35, 27, 29, 32, 36, 40, 38, 34, 23, 28, 32, 34, 38,
  38, 34, 34, 38, 41, 45, 46, 41, 37, 33, 35, 40, 44, 44, 38, 35, 31, 35, 39,
  42, 42, 38, 33, 28, 32, 35, 39, 38, 35, 31, 24, 29, 32, 34, 36, 33, 30, 20,
  27, 30, 33, 33, 32, 30, 17, 24, 29, 32, 31, 31, 30, 31, 35, 36, 38, 38, 37,
  30, 28, 34, 36, 36, 38, 35, 29, 25, 32, 35, 34, 34, 33, 26, 21, 29, 31, 31,
  30, 30, 23, 15, 26, 27, 28, 27, 25, 24, 12, 23, 26, 27, 25, 25, 24, 12, 21,
  24, 24, 24, 24, 22, 25, 30, 29, 32, 31, 29, 23, 20, 27, 29, 29, 29, 26, 21,
  17, 26, 27, 26, 26, 23, 20, 14, 21, 23, 23, 22, 20, 19, 12, 17, 20, 20, 19,
  16, 15, 12, 13, 18, 18, 18, 15, 12, 12, 10, 16, 16, 17, 15,  8, 12, 20, 22,
  22, 21, 17, 22,  9, 18, 19, 21, 20, 14, 21,  9, 14, 18, 17, 17, 11, 16,  9,
   8, 15, 14, 13,  8, 11,  8,  4, 12, 11,  9,  5,  8,  7,  5,  9,  9,  8,  4,
   6,  8,  6,  7,  7,  7,  4,  5,  5, 11, 12, 13, 13, 15, 19,  5,  7, 11, 11,
  12, 13, 14,  5,  4,  9,  8,  9, 10, 11,  5,  3,  5,  5,  6,  6,  6,  3,  2,
   0,  0,  2,  4,  5,  3,  3,  6,  5,  1,  3,  5,  5,  5,  7,  7,  2,  3,  4,
   4,  5,  5,  9, 12, 14, 15,  4,  5,  5,  8, 10, 12, 12,  4,  5,  6,  5,  7,
   8,  9,  4,  4,  6,  3,  3,  4,  5,  2,  4,  7,  6,  1,  3,  4,  1,  5, 11,
  11,  4,  1,  4,  4,  8, 12, 12,  6,  1,  3, 33, 37, 41, 43, 44, 41, 38, 31,
  35, 39, 43, 44, 39, 36, 29, 34, 37, 42, 42, 38, 33, 28, 31, 34, 39, 41, 36,
  30, 26, 28, 31, 35, 37, 33, 31, 23, 24, 28, 32, 35, 34, 30, 21, 24, 27, 30,
  35, 34, 30, 30, 33, 38, 41, 40, 37, 32, 29, 31, 36, 40, 41, 37, 31, 28, 30,
  35, 37, 37, 34, 29, 26, 28, 31, 34, 34, 32, 26, 22, 25, 27, 30, 31, 29, 25,
  19, 23, 26, 29, 29, 28, 25, 14, 21, 25, 27, 27, 27, 25, 28, 31, 33, 34, 35,
  33, 28, 26, 30, 32, 33, 33, 31, 25, 22, 28, 30, 29, 30, 29, 23, 19, 27, 27,
  26, 28, 25, 19, 13, 22, 24, 23, 23, 22, 19, 10, 20, 22, 21, 21, 21, 20,  9,
  18, 20, 20, 20, 20, 18, 23, 26, 26, 27, 27, 27, 20, 18, 24, 25, 25, 26, 23,
  18, 15, 22, 23, 23, 22, 21, 17, 12, 19, 19, 19, 20, 17, 15, 10, 14, 16, 15,
  15, 13, 12,  9, 10, 15, 14, 14, 12,  9,  9,  7, 13, 13, 13, 12,  6, 11, 18,
  18, 19, 19, 15, 19,  7, 16, 16, 18, 17, 12, 18,  7, 12, 15, 14, 14, 10, 13,
   7,  7, 11, 11, 10,  6,  8,  5,  2,  7,  7,  6,  4,  5,  5,  3,  5,  4,  5,
   3,  4,  5,  4,  3,  3,  3,  3,  4,  3,  9,  9, 10, 12, 13, 17,  3,  7,  9,
   9, 11, 11, 12,  3,  4,  8,  7,  8,  8,  9,  3,  3,  4,  4,  4,  5,  4,  2,
   1,  3,  2,  0,  3,  4,  2,  3,  5,  4,  2,  2,  4,  3,  4,  5,  5,  3,  1,
   3,  4,  5,  6,  9, 11, 13, 13,  4,  5,  6,  8,  9, 10, 10,  4,  5,  6,  6,
   6,  7,  7,  4,  3,  5,  2,  2,  3,  3,  2,  3,  6,  5,  3,  1,  3,  2,  5,
   7,  6,  3,  2,  3,  4,  6,  7,  7,  4,  2,  2, 26, 31, 35, 39, 39, 35, 33,
  26, 30, 33, 39, 38, 36, 31, 24, 29, 32, 36, 37, 33, 29, 23, 26, 30, 33, 34,
  31, 26, 20, 24, 26, 29, 32, 29, 26, 18, 20, 23, 26, 30, 30, 26, 17, 18, 22,
  26, 29, 29, 26, 24, 28, 32, 36, 35, 33, 29, 24, 26, 31, 35, 34, 30, 27, 22,
  25, 29, 33, 31, 29, 24, 21, 24, 27, 29, 29, 27, 21, 18, 20, 23, 25, 25, 24,
  21, 16, 19, 21, 23, 23, 24, 21, 13, 17, 20, 23, 22, 22, 22, 22, 25, 28, 28,
  30, 28, 24, 21, 24, 27, 27, 28, 27, 22, 20, 23, 25, 25, 25, 25, 20, 17, 21,
  22, 21, 22, 22, 16, 11, 18, 18, 18, 18, 18, 16,  7, 17, 17, 16, 16, 17, 16,
   8, 15, 15, 15, 16, 16, 14, 20, 20, 20, 21, 23, 23, 16, 16, 19, 20, 20, 21,
  19, 14, 13, 18, 18, 18, 17, 17, 13,  9, 15, 15, 14, 14, 14, 11,  7, 12, 11,
  10, 10, 10,  8,  7,  8, 10,  9,  9,  9,  5,  7,  5,  8,  8,  7,  8,  3,  8,
  12, 13, 14, 14, 13, 15,  4, 11, 11, 12, 13, 10, 13,  4, 10,  9,  9,  9,  8,
   9,  4,  5,  6,  6,  5,  4,  5,  3,  2,  2,  2,  2,  2,  3,  3,  2,  3,  2,
   1,  2,  3,  4,  3,  5,  3,  2,  0,  3,  3,  6,  7,  8,  9, 11, 13,  3,  5,
   7,  8,  8,  9, 10,  3,  3,  5,  5,  6,  6,  6,  3,  3,  3,  2,  2,  3,  3,
   1,  4,  6,  4,  3,  0,  3,  2,  5,  8,  5,  3,  2,  2,  4,  7,  8,  7,  4,
   2,  2,  4,  6,  6,  7,  8, 10, 11,  4,  6,  6,  6,  7,  8,  8,  4,  6,  7,
   4,  4,  4,  6,  4,  6,  8,  4,  2,  1,  2,  3,  8,  9,  7,  4,  2,  2,  6,
   8, 10,  9,  5,  3,  0,  7,  9, 10,  9,  6,  4,  2, 21, 26, 31, 32, 34, 32,
  27, 20, 24, 28, 32, 34, 30, 25, 19, 22, 27, 30, 32, 28, 23, 18, 21, 24, 28,
  30, 26, 21, 15, 18, 21, 24, 27, 24, 21, 13, 15, 18, 21, 24, 24, 20, 12, 14,
  17, 21, 24, 25, 21, 20, 23, 26, 31, 29, 27, 24, 19, 22, 26, 29, 29, 26, 22,
  17, 21, 24, 27, 27, 24, 19, 16, 18, 21, 24, 23, 22, 17, 13, 15, 17, 20, 20,
  20, 17, 12, 13, 16, 19, 19, 19, 17,  9, 12, 15, 18, 17, 18, 17, 18, 20, 22,
  23, 25, 23, 18, 16, 19, 21, 22, 23, 21, 16, 15, 18, 19, 19, 19, 19, 15, 14,
  16, 16, 16, 16, 16, 12,  9, 12, 13, 13, 12, 13, 12,  6, 12, 12, 12, 11, 12,
  12,  6, 10, 11, 10, 11, 11, 10, 15, 15, 15, 16, 17, 18, 11, 13, 13, 14, 15,
  15, 15,  9, 10, 12, 12, 12, 12, 11,  8,  6, 11,  9,  8,  8,  8,  7,  4,  7,
   6,  6,  5,  5,  4,  5,  5,  5,  4,  4,  4,  2,  6,  4,  3,  3,  3,  3,  2,
   6,  7,  7,  8,  9, 10, 11,  2,  5,  6,  7,  7,  8,  9,  2,  4,  5,  4,  5,
   5,  5,  2,  2,  2,  2,  1,  2,  2,  1,  4,  4,  3,  2,  2,  2,  3,  5,  5,
   4,  2,  2,  1,  4,  6,  7,  4,  3,  3,  0,  3,  4,  5,  6,  7,  8, 10,  4,
   5,  5,  6,  6,  6,  7,  4,  7,  5,  4,  4,  4,  4,  4,  6,  5,  4,  3,  2,
   1,  4,  7,  8,  5,  4,  3,  0,  6,  7,  9,  7,  4,  3,  2,  6,  8, 10,  8,
   5,  3,  2,  7,  9,  7,  5,  6,  8,  8,  7,  9,  8,  5,  5,  5,  5,  7,  9,
  10,  5,  3,  2,  3,  7,  8, 11,  6,  4,  3,  1,  7,  9, 11,  8,  5,  3,  2,
   8,  9, 12, 11,  6,  4,  2,  8, 10, 12, 12,  8,  5,  3, 31, 34, 37, 39, 39,
  37, 34, 28, 33, 36, 38, 38, 35, 32, 27, 31, 34, 37, 37, 35, 31, 26, 28, 32,
  34, 35, 32, 27, 22, 25, 29, 30, 32, 29, 27, 18, 22, 24, 26, 30, 29, 27, 15,
  19, 23, 26, 29, 28, 27, 26, 31, 35, 36, 36, 34, 32, 26, 30, 34, 36, 37, 33,
  31, 24, 28, 31, 34, 34, 31, 28, 22, 26, 30, 32, 30, 30, 24, 20, 22, 25, 28,
  27, 26, 24, 16, 19, 22, 24, 25, 25, 24, 12, 16, 20, 24, 24, 25, 24, 24, 29,
  31, 31, 33, 30, 27, 23, 26, 29, 30, 31, 31, 26, 21, 26, 28, 28, 29, 29, 25,
  19, 23, 25, 24, 25, 25, 20, 12, 19, 20, 21, 21, 21, 20,  8, 16, 18, 18, 19,
  20, 20,  8, 13, 16, 16, 18, 18, 19, 21, 22, 24, 25, 25, 27, 18, 18, 20, 21,
  24, 23, 24, 17, 14, 19, 21, 21, 21, 21, 16, 11, 17, 17, 17, 17, 17, 15,  8,
  12, 12, 13, 13, 13, 11,  7,  9,  9, 10, 11, 12,  8,  9,  7,  7,  8,  9, 10,
   8, 10, 14, 15, 16, 17, 17, 18,  6, 12, 13, 15, 15, 14, 17,  6, 11, 11, 11,
  12, 11, 14,  6,  7,  8,  8,  8,  8,  7,  4,  2,  3,  3,  3,  5,  7,  3,  2,
   2,  2,  0,  3,  7,  5,  5,  4,  2,  2,  2,  5,  5,  6,  8,  9, 12, 15, 17,
   5,  5,  7,  8, 11, 13, 14,  5,  6,  6,  6,  8, 10, 11,  5,  5,  5,  5,  4,
   6,  6,  3,  3,  4,  3,  2,  2,  6,  0,  4,  5,  4,  2,  1,  5,  4,  4,  6,
   5,  2,  2,  3,  7,  9,  9,  8, 10, 13, 15,  7,  9, 10,  8,  8, 11, 13,  7,
   9, 11,  7,  6,  7,  9,  7,  8, 10,  6,  4,  3,  5,  5,  7,  9,  6,  3,  1,
   3,  4,  5,  9,  8,  3,  2,  1,  5,  6,  9,  9,  4,  2,  1, 37, 41, 44, 47,
  48, 44, 42, 35, 39, 43, 47, 48, 44, 40, 33, 38, 41, 45, 45, 42, 38, 32, 36,
  38, 42, 45, 40, 34, 29, 31, 35, 39, 39, 36, 34, 24, 28, 31, 33, 37, 37, 34,
  22, 25, 29, 32, 36, 36, 34, 33, 36, 41, 46, 42, 42, 39, 31, 36, 41, 44, 45,
  42, 36, 30, 34, 38, 41, 41, 39, 35, 29, 32, 36, 38, 39, 35, 30, 25, 29, 31,
  34, 33, 33, 30, 20, 25, 28, 32, 31, 31, 28, 16, 22, 26, 31, 30, 30, 30, 30,
  35, 36, 37, 39, 37, 33, 28, 33, 35, 36, 37, 36, 31, 26, 31, 33, 34, 34, 34,
  29, 22, 29, 30, 31, 31, 30, 24, 16, 24, 26, 26, 25, 26, 25, 11, 21, 23, 24,
  24, 24, 25, 10, 19, 21, 23, 23, 23, 22, 26, 29, 30, 31, 32, 33, 24, 21, 26,
  29, 30, 31, 29, 23, 18, 25, 27, 27, 27, 26, 21, 14, 22, 23, 23, 23, 22, 19,
  12, 16, 19, 19, 18, 17, 16, 11, 12, 15, 16, 16, 16, 12, 10,  8, 13, 14, 14,
  15,  9, 13, 20, 21, 22, 24, 21, 24, 10, 18, 20, 20, 22, 18, 22, 10, 15, 17,
  17, 18, 15, 17, 10,  9, 14, 14, 13, 10, 12,  8,  4,  9,  9,  9,  8,  9,  5,
   3,  5,  5,  6,  6,  9,  7,  5,  3,  3,  4,  5,  7,  6, 12, 13, 14, 17, 19,
  21,  6, 10, 11, 13, 15, 17, 18,  6,  6,  9, 10, 12, 13, 14,  6,  5,  6,  6,
   8,  9,  8,  4,  3,  3,  3,  3,  6,  7,  4,  0,  4,  3,  1,  4,  7,  3,  3,
   5,  3,  2,  3,  6,  6,  8,  8, 10, 15, 17, 19,  6,  8,  9,  9, 13, 15, 16,
   6,  8,  9,  7,  9, 11, 12,  6,  7,  8,  5,  5,  7,  6,  4,  5,  6,  5,  2,
   3,  7,  2,  4,  5,  4,  2,  1,  5,  3,  5,  5,  5,  3,  2,  4, 42, 47, 50,
  55, 55, 54, 48, 41, 45, 49, 54, 55, 52, 45, 39, 43, 47, 51, 52, 50, 45, 38,
  40, 45, 48, 51, 45, 39, 34, 38, 41, 44, 46, 42, 40, 31, 34, 38, 41, 44, 42,
  39, 27, 30, 35, 40, 42, 43, 40, 40, 43, 48, 51, 52, 48, 44, 38, 43, 47, 51,
  50, 46, 42, 35, 40, 45, 48, 48, 46, 42, 34, 38, 42, 44, 44, 42, 35, 29, 35,
  38, 41, 40, 38, 34, 22, 31, 34, 37, 37, 38, 34, 19, 29, 33, 35, 36, 37, 36,
  37, 40, 44, 44, 45, 44, 39, 33, 40, 42, 42, 43, 42, 37, 29, 38, 40, 41, 40,
  39, 34, 25, 35, 37, 36, 37, 35, 30, 20, 30, 33, 33, 32, 29, 29, 14, 26, 30,
  30, 29, 30, 29, 13, 23, 27, 29, 28, 28, 27, 29, 34, 36, 37, 39, 38, 30, 25,
  32, 34, 36, 36, 34, 27, 21, 30, 33, 32, 33, 30, 26, 18, 26, 29, 28, 29, 26,
  25, 16, 20, 25, 25, 24, 20, 21, 14, 14, 22, 21, 21, 20, 17, 14, 10, 19, 20,
  20, 19, 13, 17, 27, 28, 29, 29, 25, 30, 13, 22, 27, 27, 27, 22, 28, 13, 18,
  24, 23, 24, 18, 22, 13, 12, 20, 20, 19, 13, 17, 11,  7, 16, 15, 14,  9, 12,
   9,  5, 11, 11, 11,  8, 10,  9,  6,  8, 10, 10,  8,  9,  9, 15, 18, 20, 20,
  23, 26,  9, 12, 17, 18, 19, 20, 22,  9,  8, 15, 15, 16, 17, 17,  9,  7, 11,
  11, 12, 11, 11,  7,  5,  6,  6,  5,  8,  9,  5,  4,  0,  1,  4,  6,  9,  5,
   3,  2,  2,  3,  6,  8,  7,  8, 11, 16, 19, 21, 22,  7,  7,  9, 14, 18, 18,
  18,  8,  7,  8, 11, 14, 15, 15,  7,  6,  6,  7, 10, 10,  9,  6,  4,  5,  3,
   3,  5,  8,  4,  2,  4,  4,  2,  5,  7,  3,  2,  4,  4,  2,  4,  6, 42, 45,
  48, 52, 53, 51, 46, 40, 42, 47, 52, 52, 48, 43, 38, 42, 46, 49, 52, 47, 42,
  35, 40, 44, 46, 48, 45, 38, 32, 37, 39, 44, 44, 42, 38, 29, 33, 36, 39, 42,
  41, 37, 26, 30, 34, 38, 41, 41, 38, 38, 42, 46, 49, 48, 46, 43, 37, 40, 45,
  49, 48, 44, 40, 35, 38, 43, 47, 46, 42, 35, 33, 38, 40, 43, 41, 39, 33, 26,
  34, 36, 39, 38, 36, 32, 22, 29, 32, 36, 35, 35, 32, 17, 28, 32, 35, 34, 34,
  33, 35, 40, 42, 42, 44, 41, 35, 31, 39, 39, 42, 42, 39, 33, 28, 37, 39, 38,
  38, 37, 30, 24, 33, 34, 35, 35, 32, 28, 18, 28, 31, 31, 30, 29, 28, 13, 24,
  29, 28, 29, 28, 28, 13, 21, 27, 27, 27, 27, 25, 27, 34, 34, 35, 37, 33, 27,
  23, 30, 33, 34, 33, 31, 26, 20, 27, 32, 31, 30, 27, 24, 16, 24, 28, 28, 27,
  23, 23, 14, 17, 24, 23, 23, 18, 19, 13, 13, 21, 21, 20, 17, 16, 12,  9, 19,
  20, 19, 17, 11, 16, 24, 26, 27, 26, 23, 27, 12, 20, 25, 26, 24, 19, 26, 12,
  16, 23, 23, 21, 15, 20, 12, 10, 19, 19, 17, 10, 15, 10,  6, 15, 15, 12,  7,
  11,  9,  5, 11, 11, 11,  6,  8,  8,  5,  7,  9,  9,  6,  7,  8, 14, 18, 18,
  18, 19, 24,  8,  9, 16, 16, 17, 17, 19,  8,  6, 14, 13, 14, 14, 14,  8,  5,
  10,  9, 10,  9,  9,  6,  3,  5,  5,  4,  6,  7,  4,  3,  1,  0,  3,  5,  7,
   4,  3,  1,  2,  2,  4,  6,  6,  7, 11, 14, 17, 19, 20,  6,  7, 10, 13, 15,
  16, 16,  6,  6,  9, 10, 12, 13, 13,  6,  5,  5,  6,  8,  8,  7,  4,  4,  4,
   3,  3,  4,  6,  3,  2,  6,  6,  1,  4,  5,  2,  3,  6,  6,  2,  3,  4, 34,
  39, 42, 47, 46, 43, 40, 34, 37, 42, 46, 46, 43, 37, 32, 35, 40, 44, 45, 41,
  36, 31, 33, 37, 40, 42, 38, 32, 28, 30, 33, 37, 38, 36, 33, 25, 27, 29, 33,
  37, 36, 32, 23, 25, 28, 32, 35, 36, 32, 32, 35, 40, 44, 44, 40, 36, 32, 35,
  38, 43, 42, 38, 33, 30, 33, 38, 40, 40, 36, 31, 28, 31, 34, 37, 36, 34, 28,
  22, 29, 30, 34, 33, 30, 27, 19, 25, 27, 30, 30, 30, 28, 15, 25, 27, 29, 29,
  30, 27, 30, 34, 37, 36, 36, 34, 29, 27, 32, 34, 35, 36, 33, 28, 24, 30, 33,
  32, 32, 30, 25, 21, 29, 29, 30, 30, 27, 23, 15, 24, 26, 26, 25, 23, 22, 11,
  22, 24, 23, 23, 22, 22, 10, 19, 22, 22, 22, 22, 20, 25, 28, 28, 29, 30, 29,
  23, 20, 26, 27, 28, 28, 25, 20, 16, 24, 26, 25, 25, 22, 19, 13, 20, 22, 21,
  22, 18, 18, 11, 15, 19, 18, 17, 14, 14, 10, 11, 17, 15, 15, 14, 11, 10,  7,
  15, 14, 14, 13,  7, 12, 20, 20, 21, 21, 17, 22,  9, 17, 19, 20, 19, 14, 20,
   9, 13, 17, 17, 16, 11, 15,  9,  8, 14, 13, 12,  7, 10,  7,  3, 10,  9,  8,
   4,  7,  6,  3,  7,  6,  6,  3,  5,  5,  4,  5,  5,  4,  4,  4,  5, 10, 12,
  12, 13, 15, 19,  5,  8, 11, 11, 12, 13, 14,  4,  4, 10,  9,  9, 10, 10,  5,
   3,  6,  6,  6,  6,  5,  3,  2,  1,  1,  2,  3,  4,  2,  1,  4,  3,  0,  3,
   4,  3,  2,  4,  3,  2,  2,  3,  5,  5,  8, 10, 12, 14, 15,  5,  5,  7, 10,
  11, 12, 12,  5,  5,  6,  7,  8,  9,  9,  5,  4,  4,  4,  4,  5,  4,  3,  2,
   5,  4,  2,  2,  4,  1,  4,  5,  5,  2,  2,  3,  3,  4,  5,  5,  3,  0,  2,
  28, 33, 37, 40, 41, 38, 35, 28, 31, 36, 40, 39, 37, 33, 26, 29, 35, 38, 38,
  34, 31, 26, 28, 31, 35, 37, 33, 28, 23, 25, 28, 30, 34, 31, 27, 19, 22, 24,
  28, 32, 31, 27, 18, 21, 23, 27, 30, 31, 28, 27, 30, 34, 38, 36, 35, 30, 26,
  30, 32, 37, 37, 33, 28, 25, 28, 31, 34, 33, 32, 26, 23, 26, 28, 30, 30, 28,
  22, 20, 22, 25, 27, 27, 26, 22, 17, 20, 22, 25, 25, 25, 22, 13, 19, 21, 24,
  24, 25, 22, 25, 28, 29, 30, 31, 30, 25, 23, 26, 29, 30, 29, 28, 23, 21, 26,
  27, 27, 27, 27, 21, 18, 23, 23, 23, 24, 23, 17, 12, 20, 20, 20, 20, 19, 17,
   8, 19, 19, 18, 18, 18, 17,  8, 16, 17, 17, 17, 17, 15, 21, 22, 22, 23, 24,
  23, 17, 17, 21, 22, 22, 23, 21, 15, 13, 19, 20, 20, 19, 18, 14, 10, 16, 16,
  16, 16, 15, 13,  8, 12, 13, 12, 12, 11, 10,  8,  9, 11, 11, 10, 10,  6,  8,
   6, 10,  9,  9,  9,  4,  9, 14, 15, 16, 16, 13, 17,  5, 13, 13, 14, 14, 10,
  15,  6, 11, 11, 11, 11,  8, 10,  6,  6,  8,  7,  7,  5,  6,  4,  2,  4,  3,
   3,  3,  3,  3,  2,  2,  1,  2,  2,  3,  4,  2,  4,  2,  1,  2,  3,  3,  7,
   8,  9, 10, 12, 14,  3,  6,  7,  8,  9, 10, 10,  3,  4,  6,  6,  6,  7,  7,
   3,  3,  3,  3,  3,  4,  3,  1,  3,  5,  3,  2,  1,  3,  1,  5,  6,  4,  3,
   0,  3,  2,  5,  6,  6,  3,  2,  2,  4,  6,  6,  7,  9, 11, 12,  4,  7,  6,
   7,  8,  9,  9,  4,  6,  6,  5,  5,  5,  6,  4,  5,  6,  3,  2,  2,  2,  2,
   5,  7,  6,  3,  2,  2,  5,  6,  8,  7,  4,  2,  1,  5,  7,  8,  8,  5,  3,
   0, 24, 28, 32, 36, 35, 32, 29, 23, 26, 30, 34, 36, 32, 28, 21, 25, 29, 32,
  34, 31, 25, 19, 22, 26, 30, 32, 28, 23, 17, 20, 22, 26, 28, 27, 23, 15, 17,
  20, 23, 27, 26, 23, 14, 16, 19, 22, 25, 26, 23, 21, 24, 28, 34, 32, 28, 26,
  20, 24, 28, 31, 31, 28, 24, 18, 22, 26, 29, 28, 26, 22, 18, 20, 23, 25, 26,
  23, 19, 15, 17, 20, 22, 21, 21, 18, 13, 15, 18, 20, 20, 21, 19, 11, 13, 17,
  20, 19, 19, 18, 18, 22, 24, 25, 27, 25, 20, 17, 20, 23, 24, 24, 23, 19, 17,
  19, 22, 22, 21, 22, 17, 14, 18, 18, 18, 18, 18, 14, 10, 14, 15, 15, 15, 15,
  14,  6, 13, 14, 13, 13, 14, 13,  6, 12, 12, 12, 12, 13, 12, 17, 17, 17, 18,
  20, 20, 13, 14, 15, 16, 17, 17, 17, 11, 11, 14, 14, 14, 14, 13, 10,  7, 12,
  11, 11, 11, 10,  9,  5,  9,  8,  7,  7,  7,  5,  6,  7,  7,  6,  6,  6,  3,
   7,  4,  5,  5,  5,  5,  3,  7,  9,  9, 10, 11, 11, 13,  2,  7,  8,  9,  9,
   8, 11,  2,  6,  6,  6,  6,  6,  7,  2,  3,  3,  2,  2,  3,  3,  1,  2,  2,
   2,  2,  0,  2,  2,  4,  5,  4,  2,  1,  2,  3,  6,  7,  4,  3,  2,  2,  3,
   4,  5,  7,  8, 10, 11,  3,  4,  5,  6,  7,  7,  8,  3,  5,  4,  4,  4,  5,
   5,  3,  4,  5,  3,  2,  1,  2,  3,  6,  8,  5,  4,  2,  2,  4,  8, 10,  7,
   4,  3,  0,  6,  9, 10,  8,  5,  3,  1,  6,  8,  6,  5,  7,  8,  9,  6,  8,
   8,  6,  6,  6,  7,  6,  8,  9,  5,  3,  3,  4,  6,  7, 10,  7,  5,  2,  0,
   7,  9, 10,  8,  5,  3,  2,  8, 10, 11, 10,  6,  4,  2,  9, 10, 11, 11,  7,
   5,  3, 33, 37, 40, 43, 42, 41, 37, 32, 36, 40, 42, 42, 40, 36, 30, 34, 38,
  40, 41, 37, 34, 29, 32, 36, 37, 38, 33, 27, 25, 28, 32, 33, 32, 29, 28, 22,
  24, 27, 28, 32, 29, 28, 16, 20, 24, 27, 29, 30, 28, 30, 34, 38, 40, 40, 38,
  35, 29, 33, 37, 42, 40, 37, 34, 27, 31, 35, 38, 36, 34, 30, 26, 29, 32, 34,
  34, 32, 25, 23, 26, 28, 31, 28, 27, 25, 18, 22, 24, 25, 27, 26, 25, 13, 17,
  21, 24, 24, 25, 24, 27, 32, 33, 35, 36, 35, 31, 26, 29, 33, 34, 35, 34, 29,
  24, 29, 31, 31, 31, 31, 26, 20, 26, 27, 28, 28, 26, 21, 14, 22, 24, 24, 22,
  21, 21,  8, 17, 19, 19, 19, 20, 21,  7, 14, 17, 17, 18, 19, 19, 24, 25, 26,
  28, 30, 30, 24, 20, 24, 25, 27, 27, 27, 22, 17, 23, 24, 24, 24, 23, 20, 13,
  19, 20, 20, 20, 19, 17, 11, 14, 16, 16, 14, 13, 14,  8,  9, 11, 10, 11, 12,
  10,  7,  5,  8,  9, 10, 10,  9, 12, 18, 19, 20, 22, 22, 23,  9, 17, 18, 19,
  20, 19, 22,  9, 15, 16, 16, 16, 16, 16,  9, 11, 13, 13, 12, 10, 10,  6,  5,
   8,  8,  4,  6,  8,  4,  3,  1,  2,  3,  5,  8,  3,  2,  2,  1,  2,  4,  7,
   8, 12, 14, 15, 18, 21, 22,  8, 10, 12, 14, 16, 18, 18,  8,  8, 10, 10, 13,
  14, 14,  8,  7,  7,  7,  8,  9,  7,  6,  5,  6,  5,  3,  4,  7,  3,  3,  5,
   4,  3,  2,  6,  0,  3,  5,  5,  3,  2,  5,  8, 11, 11, 11, 16, 19, 20,  9,
  11, 12, 10, 14, 16, 17,  9, 11, 12,  9, 10, 12, 13,  9, 10, 11,  8,  6,  6,
   6,  7,  8, 10,  7,  4,  2,  5,  5,  7,  8,  7,  4,  3,  3,  4,  5,  7,  8,
   4,  3,  2, 39, 43, 46, 51, 52, 48, 44, 38, 42, 45, 50, 49, 46, 43, 36, 39,
  44, 48, 48, 45, 39, 35, 38, 42, 44, 45, 40, 34, 31, 35, 36, 40, 41, 37, 34,
  27, 30, 33, 34, 38, 38, 34, 22, 26, 29, 34, 37, 37, 33, 36, 40, 46, 48, 48,
  43, 41, 34, 38, 42, 47, 47, 42, 38, 32, 36, 41, 43, 44, 41, 35, 31, 34, 38,
  41, 40, 37, 30, 27, 32, 34, 36, 34, 33, 30, 21, 27, 30, 31, 32, 33, 30, 15,
  23, 25, 30, 30, 30, 29, 33, 36, 40, 41, 42, 40, 35, 31, 35, 38, 40, 41, 39,
  33, 28, 34, 37, 38, 36, 36, 31, 24, 31, 33, 33, 33, 31, 26, 17, 27, 28, 29,
  27, 26, 26, 12, 22, 25, 24, 24, 25, 26, 10, 18, 22, 23, 23, 24, 24, 27, 31,
  32, 34, 35, 35, 28, 23, 30, 31, 32, 32, 33, 25, 20, 28, 30, 29, 29, 28, 24,
  16, 24, 25, 26, 25, 22, 22, 13, 18, 21, 21, 18, 18, 18, 12, 11, 17, 16, 16,
  17, 14, 10,  7, 15, 14, 15, 15, 11, 15, 23, 24, 25, 26, 25, 28, 12, 20, 22,
  24, 24, 22, 26, 12, 17, 21, 21, 20, 18, 20, 12, 11, 17, 16, 16, 12, 14, 10,
   5, 13, 12,  9,  8, 10,  7,  5,  7,  6,  7,  7,  9,  5,  4,  4,  4,  5,  7,
   8,  9, 16, 18, 19, 22, 23, 25,  9, 13, 16, 18, 20, 20, 22,  9,  9, 14, 14,
  16, 17, 16,  9,  8, 10, 10, 12, 11,  9,  7,  6,  5,  5,  4,  7,  9,  4,  3,
   3,  3,  2,  5,  9,  4,  0,  3,  4,  2,  4,  7,  9,  9, 10, 15, 19, 22, 22,
   9,  9, 10, 13, 18, 19, 19,  9,  9, 11, 11, 13, 15, 14,  9,  8, 10,  7,  9,
   9,  7,  7,  7,  8,  6,  3,  4,  7,  5,  5,  6,  5,  3,  3,  6,  2,  4,  5,
   5,  3,  2,  5, 44, 47, 53, 55, 56, 52, 48, 42, 47, 51, 53, 55, 51, 47, 41,
  45, 50, 51, 54, 50, 44, 39, 42, 44, 49, 50, 47, 40, 36, 39, 42, 46, 46, 42,
  39, 31, 34, 38, 40, 44, 43, 39, 27, 31, 35, 39, 42, 43, 39, 40, 45, 49, 52,
  52, 48, 45, 39, 44, 47, 52, 50, 47, 42, 36, 42, 45, 48, 49, 45, 39, 35, 39,
  42, 44, 44, 41, 34, 28, 36, 39, 41, 39, 38, 35, 23, 32, 35, 36, 37, 36, 35,
  18, 29, 32, 36, 35, 36, 34, 36, 42, 44, 45, 47, 44, 38, 33, 41, 41, 45, 45,
  43, 37, 30, 39, 40, 41, 41, 39, 34, 25, 35, 37, 37, 37, 36, 30, 20, 31, 34,
  34, 31, 30, 30, 15, 26, 30, 29, 30, 29, 30, 13, 22, 28, 28, 28, 29, 28, 29,
  35, 36, 38, 39, 38, 31, 26, 34, 36, 37, 37, 35, 29, 22, 31, 34, 33, 34, 31,
  27, 18, 27, 30, 29, 30, 26, 25, 16, 20, 26, 25, 24, 21, 22, 15, 14, 22, 21,
  21, 20, 17, 14, 10, 19, 20, 20, 19, 14, 17, 25, 28, 30, 29, 26, 31, 14, 23,
  27, 28, 28, 23, 29, 14, 19, 25, 25, 24, 20, 24, 14, 13, 21, 20, 21, 13, 16,
  12,  8, 16, 16, 13, 10, 13,  9,  5, 11, 11, 12,  9, 11,  9,  6,  8, 10, 10,
   8, 10, 10, 16, 19, 21, 22, 24, 27, 10, 12, 18, 20, 21, 22, 23,  9,  8, 17,
  16, 17, 18, 18, 10,  8, 13, 12, 13, 12, 11,  8,  5,  7,  7,  5,  8, 10,  6,
   5,  2,  1,  4,  7,  9,  5,  3,  0,  2,  4,  6,  8,  9,  8, 12, 17, 21, 23,
  24,  9,  8, 11, 16, 20, 20, 20,  9,  8,  9, 13, 15, 16, 16,  8,  7,  7,  8,
  11, 11,  9,  6,  5,  5,  3,  4,  5,  8,  4,  3,  4,  4,  2,  5,  7,  3,  2,
   4,  4,  2,  4,  6, 44, 48, 53, 55, 55, 53, 49, 41, 48, 50, 54, 54, 52, 48,
  40, 44, 49, 52, 53, 49, 44, 39, 42, 47, 48, 51, 47, 42, 35, 39, 42, 45, 46,
  44, 40, 31, 34, 38, 42, 44, 43, 40, 27, 33, 36, 39, 43, 43, 40, 41, 44, 48,
  53, 53, 48, 43, 39, 45, 48, 51, 50, 47, 42, 36, 42, 46, 48, 48, 46, 39, 33,
  40, 43, 46, 45, 42, 35, 28, 36, 40, 41, 40, 38, 35, 22, 32, 35, 39, 38, 37,
  35, 18, 29, 34, 37, 35, 36, 36, 36, 41, 44, 45, 46, 44, 37, 34, 39, 43, 44,
  43, 41, 35, 29, 39, 41, 41, 40, 39, 33, 26, 37, 37, 37, 37, 36, 30, 19, 31,
  34, 34, 32, 30, 29, 15, 26, 31, 30, 30, 29, 29, 14, 21, 30, 29, 29, 28, 27,
  30, 36, 38, 38, 38, 36, 30, 25, 33, 35, 37, 35, 33, 28, 21, 30, 34, 34, 32,
  30, 26, 17, 24, 31, 30, 30, 24, 25, 15, 19, 26, 27, 24, 20, 21, 15, 14, 24,
  23, 22, 19, 17, 14, 10, 20, 22, 21, 18, 14, 16, 25, 29, 30, 27, 24, 30, 13,
  22, 27, 28, 26, 20, 28, 13, 17, 25, 24, 23, 17, 23, 13, 12, 21, 21, 19, 12,
  17, 11,  7, 17, 17, 13,  8, 13, 10,  6, 12, 13, 12,  7, 10,  9,  6,  8, 12,
  11,  7,  9,  9, 14, 19, 20, 19, 22, 26,  9, 10, 18, 18, 18, 19, 22,  9,  6,
  16, 15, 15, 16, 16,  9,  5, 12, 12, 11, 11, 10,  7,  4,  6,  7,  5,  7,  8,
   5,  3,  2,  2,  3,  5,  8,  5,  3,  2,  0,  3,  5,  7,  7,  7, 12, 16, 18,
  20, 22,  7,  7, 11, 14, 17, 17, 18,  7,  7,  9, 12, 13, 14, 14,  7,  6,  5,
   8,  9,  9,  8,  5,  4,  3,  2,  4,  5,  7,  3,  2,  5,  4,  2,  4,  6,  3,
   1,  5,  5,  1,  4,  5, 38, 42, 47, 47, 48, 47, 43, 36, 41, 44, 48, 49, 45,
  41, 34, 39, 43, 45, 47, 44, 38, 33, 36, 40, 43, 45, 41, 34, 31, 33, 37, 39,
  41, 39, 35, 26, 29, 32, 35, 39, 37, 35, 23, 28, 31, 34, 38, 38, 34, 34, 39,
  43, 47, 46, 41, 38, 34, 38, 41, 45, 44, 40, 36, 31, 35, 40, 43, 42, 39, 33,
  29, 34, 36, 40, 39, 36, 30, 24, 30, 33, 36, 35, 33, 30, 21, 27, 30, 32, 32,
  32, 29, 16, 26, 29, 31, 31, 31, 30, 31, 35, 38, 39, 39, 37, 31, 29, 35, 37,
  38, 38, 35, 30, 26, 32, 35, 35, 36, 33, 27, 22, 31, 32, 31, 32, 30, 24, 16,
  26, 27, 28, 27, 25, 24, 11, 24, 25, 26, 25, 24, 24, 11, 20, 24, 24, 24, 24,
  22, 25, 30, 30, 31, 32, 30, 24, 21, 29, 28, 30, 31, 28, 22, 18, 26, 28, 28,
  27, 24, 21, 15, 21, 24, 25, 24, 20, 20, 12, 15, 21, 20, 20, 16, 16, 11, 12,
  18, 18, 17, 15, 12, 11,  8, 17, 17, 16, 15,  9, 13, 21, 23, 24, 23, 19, 24,
  10, 19, 22, 22, 21, 16, 23, 10, 14, 19, 19, 18, 13, 17, 10,  9, 16, 16, 15,
   8, 12,  8,  4, 12, 12, 10,  5,  9,  7,  4,  9,  8,  8,  4,  6,  7,  4,  6,
   7,  7,  4,  5,  6, 12, 14, 15, 15, 17, 20,  6,  8, 12, 13, 14, 14, 16,  6,
   5, 11, 10, 11, 11, 12,  6,  4,  8,  7,  7,  7,  6,  4,  2,  2,  2,  3,  4,
   5,  2,  2,  3,  3,  2,  3,  5,  3,  2,  4,  3,  0,  3,  4,  5,  5, 10, 12,
  14, 16, 17,  5,  6,  9, 11, 12, 13, 13,  5,  6,  8,  9,  9, 10, 10,  5,  5,
   4,  5,  6,  6,  5,  3,  2,  3,  3,  1,  3,  4,  2,  3,  5,  4,  2,  2,  4,
   2,  4,  5,  4,  3,  2,  3, 31, 36, 40, 43, 43, 40, 36, 30, 33, 38, 43, 43,
  39, 35, 28, 32, 37, 39, 42, 37, 33, 28, 30, 33, 36, 40, 35, 29, 25, 27, 29,
  33, 35, 32, 29, 21, 24, 26, 30, 34, 32, 29, 20, 21, 26, 29, 32, 32, 29, 29,
  32, 36, 40, 38, 35, 33, 29, 31, 35, 38, 37, 35, 30, 26, 30, 33, 36, 36, 32,
  29, 25, 28, 30, 33, 33, 31, 24, 20, 25, 27, 29, 29, 27, 24, 18, 22, 25, 27,
  27, 27, 24, 14, 21, 24, 26, 26, 26, 24, 26, 30, 32, 33, 34, 32, 27, 25, 29,
  30, 31, 31, 30, 25, 23, 27, 29, 29, 29, 28, 22, 18, 26, 25, 26, 26, 24, 19,
  13, 22, 22, 22, 22, 21, 19,  9, 20, 20, 20, 20, 20, 19,  9, 17, 20, 18, 19,
  19, 17, 23, 24, 24, 26, 27, 25, 19, 18, 23, 23, 25, 24, 22, 17, 14, 22, 22,
  21, 22, 19, 16, 11, 18, 19, 18, 18, 16, 14,  9, 13, 15, 14, 14, 12, 11,  9,
  10, 13, 12, 12, 12,  8,  9,  7, 12, 11, 11, 11,  5, 10, 17, 17, 18, 18, 15,
  19,  7, 15, 16, 16, 16, 12, 17,  6, 12, 13, 13, 13,  9, 12,  7,  6, 10,  9,
   9,  6,  7,  5,  2,  6,  5,  5,  3,  5,  4,  2,  4,  3,  3,  3,  4,  4,  3,
   2,  2,  2,  2,  3,  4,  9,  9, 10, 11, 13, 16,  4,  7,  9,  9, 10, 11, 12,
   4,  4,  8,  7,  8,  8,  8,  4,  3,  4,  4,  4,  5,  4,  2,  1,  4,  3,  1,
   2,  3,  2,  3,  6,  4,  2,  2,  3,  2,  5,  6,  5,  3,  0,  3,  4,  5,  6,
   8, 10, 12, 13,  4,  5,  6,  8,  9, 10, 10,  4,  5,  6,  5,  6,  6,  7,  4,
   4,  6,  3,  2,  3,  3,  2,  4,  8,  5,  3,  0,  3,  3,  6,  7,  7,  4,  2,
   2,  5,  7,  7,  8,  5,  2,  2, 25, 28, 34, 37, 37, 34, 31, 24, 28, 32, 36,
  37, 32, 29, 23, 26, 30, 34, 36, 32, 27, 22, 24, 28, 31, 34, 30, 24, 19, 21,
  24, 27, 31, 28, 24, 17, 18, 21, 24, 29, 28, 24, 15, 17, 21, 24, 27, 27, 24,
  23, 27, 31, 34, 33, 30, 27, 22, 25, 29, 33, 33, 28, 25, 20, 24, 28, 31, 30,
  27, 24, 20, 22, 24, 28, 27, 26, 20, 17, 18, 21, 23, 24, 23, 20, 15, 17, 19,
  21, 22, 22, 20, 12, 16, 19, 21, 21, 21, 20, 21, 24, 26, 27, 28, 26, 22, 20,
  23, 24, 25, 26, 25, 20, 19, 21, 23, 23, 23, 22, 18, 16, 20, 20, 20, 19, 19,
  14, 10, 16, 16, 16, 16, 16, 14,  7, 16, 15, 15, 15, 15, 15,  7, 14, 14, 14,
  14, 14, 13, 18, 19, 19, 20, 21, 21, 14, 15, 17, 18, 19, 19, 18, 12, 12, 16,
  16, 16, 15, 15, 11,  8, 14, 13, 12, 12, 12, 10,  6, 10,  9,  9,  8,  8,  7,
   6,  8,  8,  7,  7,  7,  4,  7,  4,  6,  6,  6,  6,  3,  8, 11, 11, 12, 13,
  12, 14,  3,  9, 10, 10, 11,  9, 12,  4,  8,  8,  7,  7,  7,  8,  3,  4,  4,
   4,  3,  3,  3,  1,  1,  1,  1,  1,  1,  3,  2,  3,  4,  3,  2,  0,  2,  3,
   5,  5,  3,  2,  2,  2,  3,  5,  6,  7,  8, 10, 12,  3,  4,  6,  7,  7,  8,
   9,  3,  4,  4,  4,  5,  5,  6,  3,  3,  4,  3,  2,  2,  2,  1,  5,  6,  4,
   3,  2,  2,  3,  6,  8,  6,  3,  2,  1,  5,  7,  8,  7,  4,  3,  0,  5,  7,
   6,  6,  8,  9, 10,  5,  7,  6,  6,  6,  7,  7,  5,  7,  8,  4,  3,  4,  4,
   5,  7,  8,  5,  3,  2,  1,  5,  8,  9,  7,  4,  3,  0,  6,  8, 10,  9,  5,
   3,  2,  7,  9, 10, 10,  6,  4,  2, 31, 36, 39, 41, 40, 39, 36, 31, 35, 38,
  41, 41, 38, 36, 30, 33, 36, 40, 42, 39, 36, 29, 32, 36, 39, 41, 39, 38, 28,
  31, 35, 38, 42, 40, 37, 28, 30, 34, 38, 41, 42, 36, 25, 29, 33, 37, 40, 40,
  37, 29, 32, 36, 40, 38, 35, 32, 28, 32, 35, 38, 38, 34, 32, 27, 30, 34, 38,
  38, 34, 32, 25, 29, 34, 36, 37, 36, 32, 25, 29, 32, 36, 36, 36, 33, 24, 28,
  32, 35, 36, 35, 32, 21, 26, 30, 34, 34, 35, 32, 27, 31, 31, 32, 33, 30, 25,
  27, 29, 30, 30, 32, 29, 25, 24, 28, 29, 30, 30, 30, 25, 21, 27, 28, 29, 30,
  30, 25, 19, 27, 28, 28, 29, 30, 26, 15, 24, 26, 28, 28, 28, 26, 16, 22, 25,
  26, 26, 26, 25, 24, 25, 25, 25, 25, 22, 13, 22, 23, 23, 25, 24, 21, 14, 17,
  22, 22, 23, 22, 20, 15, 14, 22, 21, 22, 23, 20, 17, 15, 19, 20, 21, 21, 19,
  14, 15, 17, 19, 19, 19, 18, 10, 16, 14, 17, 17, 18, 17,  8, 12, 16, 16, 17,
  15, 10, 12,  9, 15, 15, 15, 14, 10, 13,  9, 13, 13, 13, 13,  8, 12,  9,  9,
  13, 13, 12,  9, 10, 10,  7, 11, 11, 11,  6,  8, 10,  9,  8,  9,  9,  5,  8,
  12, 11,  9,  7,  7,  4,  7,  4,  6,  6,  6,  7,  9, 10,  4,  4,  4,  5,  5,
   9, 10,  4,  2,  2,  3,  5,  7,  9,  4,  2,  1,  1,  3,  6,  8,  5,  4,  4,
   4,  4,  4,  7,  7,  6,  8,  6,  4,  4,  6,  9,  9,  9,  7,  5,  4,  5,  0,
   4,  3,  1,  4,  7,  9,  0,  4,  4,  2,  4,  6,  8,  0,  4,  5,  2,  2,  5,
   8,  0,  3,  4,  2,  2,  4,  6,  2,  4,  5,  5,  5,  4,  5,  5,  6,  8,  8,
   5,  5,  4,  8,  8,  9,  9,  6,  5,  4, 37, 41, 45, 47, 47, 45, 41, 37, 40,
  44, 46, 48, 46, 42, 36, 39, 42, 47, 47, 46, 43, 34, 37, 41, 45, 48, 46, 42,
  34, 37, 41, 45, 49, 46, 42, 33, 36, 41, 44, 47, 45, 42, 30, 35, 38, 43, 47,
  46, 42, 36, 39, 42, 45, 43, 41, 36, 34, 37, 41, 44, 44, 39, 36, 33, 36, 40,
  42, 43, 40, 36, 32, 36, 38, 43, 42, 42, 37, 30, 35, 38, 42, 41, 40, 37, 28,
  34, 38, 41, 41, 40, 37, 25, 31, 36, 40, 40, 40, 37, 33, 36, 38, 38, 37, 34,
  28, 31, 34, 36, 38, 36, 34, 28, 28, 34, 36, 36, 35, 34, 29, 25, 34, 34, 36,
  36, 34, 30, 22, 32, 34, 35, 35, 34, 30, 19, 30, 33, 33, 33, 32, 30, 18, 28,
  31, 31, 32, 32, 28, 28, 31, 31, 30, 29, 25, 16, 25, 29, 29, 30, 28, 24, 18,
  21, 28, 28, 28, 27, 23, 20, 17, 26, 29, 27, 27, 23, 23, 18, 23, 27, 27, 26,
  22, 19, 19, 20, 25, 25, 25, 21, 15, 18, 17, 23, 24, 24, 21, 11, 16, 22, 22,
  22, 16, 12, 16, 12, 19, 21, 21, 16, 11, 18, 13, 16, 19, 19, 16,  9, 15, 13,
  12, 19, 19, 15, 11, 14, 14, 10, 17, 17, 13,  8, 11, 13, 11, 14, 14, 12,  7,
  10, 14, 13, 12, 13, 11,  6,  8,  7, 11, 12,  9,  9, 11, 13,  7,  8, 10,  8,
   7,  9, 12,  7,  5,  8,  7,  6,  8, 10,  7,  4,  7,  6,  6,  8, 10,  8,  6,
   5,  5,  4,  6,  9,  9,  8,  8,  7,  5,  6,  8, 11,  9,  8,  7,  6,  5,  7,
   4,  0,  2,  4,  6,  9, 11,  4,  0,  2,  3,  5,  7, 10,  4,  0,  3,  2,  6,
   9, 10,  4,  1,  3,  2,  4,  5,  8,  4,  3,  5,  5,  5,  5,  7,  6,  6,  8,
   8,  6,  5,  6,  7,  9,  8,  8,  7,  5,  6, 36, 40, 42, 44, 44, 42, 39, 35,
  38, 42, 44, 45, 42, 38, 34, 37, 41, 44, 45, 42, 40, 33, 37, 41, 45, 46, 43,
  40, 33, 36, 40, 43, 47, 44, 39, 32, 35, 39, 43, 46, 44, 40, 30, 34, 38, 41,
  45, 44, 39, 34, 37, 40, 43, 41, 36, 34, 32, 35, 39, 42, 42, 37, 33, 31, 35,
  38, 40, 41, 37, 34, 31, 35, 37, 41, 41, 39, 34, 29, 35, 36, 40, 39, 39, 35,
  27, 33, 36, 39, 39, 38, 35, 24, 31, 35, 38, 37, 37, 35, 31, 34, 36, 35, 35,
  31, 24, 29, 33, 34, 35, 34, 31, 24, 27, 33, 34, 34, 32, 31, 26, 23, 33, 33,
  34, 33, 31, 27, 21, 31, 33, 33, 33, 29, 27, 18, 29, 32, 31, 31, 30, 28, 18,
  27, 30, 30, 31, 29, 25, 27, 29, 28, 28, 27, 22, 14, 22, 28, 27, 27, 25, 20,
  16, 19, 26, 27, 27, 25, 20, 18, 15, 24, 27, 26, 25, 20, 21, 17, 22, 25, 25,
  24, 19, 17, 17, 19, 24, 25, 23, 18, 14, 18, 16, 22, 22, 22, 18, 10, 14, 20,
  20, 20, 14,  8, 14, 11, 18, 19, 19, 14,  8, 15, 11, 14, 19, 18, 13,  7, 14,
  11, 11, 18, 18, 13,  7, 13, 13,  9, 16, 16, 12,  6,  9, 12, 11, 14, 14, 11,
   6,  7, 14, 13, 12, 12, 10,  6,  7,  6, 10, 11,  7,  5,  7, 10,  6,  7,  9,
   7,  5,  7,  9,  6,  3,  8,  6,  5,  7,  8,  6,  4,  7,  6,  4,  6,  7,  7,
   6,  5,  5,  6,  6,  7,  9,  8, 11, 11,  8,  6,  7, 11, 10, 12, 12, 10,  6,
   6,  3,  2,  0,  3,  4,  6,  8,  3,  2,  2,  2,  4,  5,  7,  3,  2,  3,  2,
   4,  6,  7,  3,  2,  6,  4,  4,  5,  6,  4,  5, 10, 11,  9,  6,  6,  6, 10,
  15, 16, 11,  7,  6,  9, 14, 17, 17, 13,  8,  6, 28, 32, 36, 38, 38, 36, 32,
  29, 31, 35, 38, 39, 36, 32, 27, 31, 34, 37, 39, 36, 33, 26, 30, 34, 37, 40,
  37, 34, 27, 30, 33, 36, 40, 38, 34, 26, 29, 32, 36, 39, 38, 34, 24, 27, 30,
  35, 37, 38, 34, 28, 30, 34, 36, 34, 30, 27, 26, 28, 32, 35, 34, 31, 27, 25,
  28, 32, 34, 34, 32, 28, 24, 28, 31, 35, 34, 32, 28, 24, 28, 31, 34, 34, 34,
  29, 23, 27, 29, 33, 33, 33, 29, 21, 25, 28, 31, 32, 31, 29, 26, 29, 29, 28,
  29, 25, 19, 25, 26, 28, 28, 28, 25, 19, 23, 26, 27, 28, 28, 25, 20, 19, 26,
  27, 28, 27, 26, 22, 17, 25, 27, 26, 26, 25, 22, 15, 25, 25, 25, 26, 24, 22,
  16, 22, 24, 24, 24, 24, 20, 22, 23, 22, 21, 21, 17,  8, 18, 22, 21, 21, 20,
  16, 10, 15, 21, 21, 21, 20, 16, 13, 12, 20, 21, 20, 19, 16, 16, 14, 18, 21,
  20, 19, 15, 12, 15, 16, 18, 18, 17, 15,  9, 16, 15, 16, 17, 16, 14,  6, 11,
  15, 15, 14, 10,  5,  8,  7, 14, 13, 13, 10,  5, 10,  8, 11, 12, 12, 10,  5,
   9,  7,  9, 12, 12, 10,  5,  8,  9,  7, 11, 11,  9,  6,  6, 10,  9, 10,  9,
   8,  6,  5, 13, 13, 13, 10,  8,  7,  5,  3,  6,  5,  4,  3,  4,  6,  3,  4,
   4,  3,  3,  4,  5,  3,  2,  2,  2,  3,  4,  6,  3,  2,  4,  4,  4,  5,  5,
   5,  6,  9,  9,  8,  7,  5,  7, 10, 16, 14, 10,  7,  6, 11, 15, 17, 15, 12,
   8,  6,  2,  4,  3,  0,  2,  3,  4,  2,  4,  4,  2,  2,  3,  5,  2,  4,  5,
   3,  2,  3,  4,  2,  6,  9,  7,  6,  5,  5,  5,  9, 13, 12, 11,  8,  6,  9,
  14, 18, 18, 13, 10,  7, 14, 18, 19, 19, 15, 11,  7, 24, 27, 30, 33, 32, 30,
  27, 24, 26, 29, 32, 33, 31, 27, 22, 25, 28, 31, 33, 31, 29, 21, 25, 28, 32,
  34, 32, 29, 22, 25, 27, 31, 35, 33, 29, 21, 24, 27, 30, 34, 33, 29, 19, 22,
  25, 29, 33, 33, 28, 21, 24, 28, 30, 29, 25, 23, 21, 24, 27, 30, 29, 25, 22,
  20, 22, 26, 29, 28, 27, 23, 20, 22, 26, 29, 28, 27, 24, 21, 23, 26, 29, 29,
  27, 23, 19, 21, 24, 28, 27, 27, 24, 16, 20, 23, 26, 26, 26, 24, 20, 22, 23,
  23, 23, 20, 15, 19, 22, 22, 23, 22, 20, 16, 19, 20, 22, 23, 22, 21, 17, 16,
  22, 23, 23, 23, 21, 18, 15, 21, 21, 21, 22, 21, 18, 13, 19, 20, 20, 21, 20,
  17, 17, 18, 19, 19, 19, 20, 17, 19, 17, 16, 17, 16, 13,  5, 16, 16, 16, 16,
  15, 12,  6, 13, 16, 15, 16, 15, 13,  9, 10, 16, 16, 15, 15, 13, 12, 11, 14,
  14, 14, 14, 12,  8, 12, 13, 13, 13, 13, 12,  6, 17, 18, 13, 12, 12, 11,  5,
   8, 10,  9,  9,  8,  3,  5,  5,  9,  8,  8,  7,  3,  6,  5,  8,  7,  7,  7,
   3,  5,  5,  6,  7,  7,  7,  5,  5,  6,  7,  7,  7,  8,  7,  5,  9, 12, 14,
  12,  9,  8,  6, 15, 18, 17, 13, 10,  8,  6,  2,  1,  1,  1,  2,  3,  3,  2,
   3,  2,  1,  1,  3,  4,  2,  3,  3,  3,  2,  3,  4,  2,  5,  7,  7,  6,  5,
   6,  5, 10, 13, 12, 11,  8,  6, 10, 15, 19, 17, 12,  9,  7, 16, 19, 21, 18,
  14, 10,  8,  4,  6,  4,  2,  0,  2,  3,  4,  6,  5,  3,  1,  2,  3,  4,  6,
   7,  5,  5,  3,  4,  4,  8, 12,  9,  8,  7,  7,  8, 12, 16, 15, 13, 10,  8,
  13, 16, 20, 21, 15, 11,  9, 18, 22, 21, 21, 17, 13,  9, 19, 23, 25, 29, 28,
  25, 22, 19, 21, 24, 27, 28, 26, 23, 17, 20, 24, 27, 30, 27, 24, 17, 20, 24,
  28, 30, 29, 25, 18, 20, 23, 27, 31, 28, 25, 16, 19, 22, 26, 29, 29, 25, 16,
  18, 22, 25, 28, 29, 26, 18, 20, 23, 25, 23, 21, 18, 16, 19, 23, 25, 25, 21,
  19, 15, 18, 21, 25, 24, 22, 20, 15, 19, 22, 25, 24, 23, 20, 16, 18, 21, 24,
  24, 23, 21, 14, 17, 20, 23, 23, 23, 20, 18, 18, 19, 22, 22, 22, 21, 15, 18,
  19, 19, 19, 16, 13, 15, 17, 18, 18, 18, 17, 13, 15, 16, 18, 18, 18, 18, 14,
  14, 17, 18, 18, 18, 18, 15, 12, 15, 17, 17, 17, 17, 15, 13, 15, 16, 17, 16,
  16, 15, 20, 19, 16, 15, 15, 15, 13, 15, 13, 12, 12, 12, 11,  2, 14, 12, 12,
  11, 11, 10,  3, 11, 11, 11, 12, 11, 11,  6,  7, 11, 11, 11, 11, 10,  9,  9,
  10, 10, 10, 10, 10,  6, 13, 14, 13, 11,  9,  9,  6, 19, 21, 16, 13, 10,  8,
   7,  6,  5,  5,  5,  4,  2,  3,  2,  4,  4,  3,  3,  2,  3,  2,  2,  2,  3,
   3,  3,  4,  2,  3,  5,  5,  6,  6,  6,  5, 10, 10, 10, 10,  8,  7, 11, 16,
  17, 15, 11,  9,  7, 18, 21, 20, 15, 13, 10,  8,  3,  4,  2,  2,  1,  2,  2,
   3,  4,  3,  2,  2,  2,  3,  3,  6,  4,  5,  5,  4,  4,  3,  8,  9,  9,  8,
   7,  7,  8, 12, 15, 14, 13, 10,  8, 13, 17, 20, 19, 14, 11,  8, 19, 22, 23,
  21, 16, 12,  9,  7,  9,  6,  3,  2,  0,  2,  7,  9,  7,  4,  3,  2,  2,  7,
   9,  9,  7,  6,  5,  5,  7, 11, 14, 12, 10,  9,  8, 10, 15, 18, 17, 15, 13,
   9, 15, 19, 22, 23, 17, 13, 10, 20, 23, 23, 24, 19, 15, 11, 15, 18, 21, 24,
  25, 22, 18, 14, 17, 20, 24, 25, 22, 20, 13, 16, 20, 23, 26, 24, 21, 12, 16,
  20, 23, 26, 24, 21, 13, 16, 19, 23, 27, 24, 21, 12, 16, 18, 22, 25, 24, 21,
  17, 16, 17, 21, 24, 24, 21, 13, 16, 19, 21, 21, 18, 15, 12, 15, 18, 20, 20,
  18, 15, 11, 14, 17, 20, 21, 19, 16, 10, 14, 18, 21, 21, 19, 17, 11, 14, 17,
  20, 20, 20, 17, 12, 13, 16, 19, 19, 19, 16, 19, 17, 16, 18, 18, 18, 17, 11,
  14, 15, 15, 16, 14, 10, 10, 13, 14, 14, 14, 13, 10,  9, 11, 13, 14, 14, 14,
  11,  9, 12, 14, 14, 14, 14, 12,  8, 11, 13, 13, 13, 13, 12, 14, 14, 14, 13,
  12, 12, 12, 22, 20, 16, 13, 11, 11, 11,  9,  9,  8,  8,  9,  9,  2,  8,  7,
   7,  7,  7,  7,  2,  6,  6,  7,  7,  7,  7,  3,  6,  6,  7,  7,  7,  7,  6,
   7,  8,  9,  9,  9,  7,  6, 14, 16, 14, 12, 10,  8,  6, 21, 22, 17, 13, 10,
   8,  7,  2,  1,  1,  1,  1,  2,  2,  2,  2,  1,  1,  1,  1,  2,  2,  2,  2,
   4,  4,  3,  3,  2,  6,  6,  7,  7,  7,  6,  6, 11, 12, 11, 11,  9,  7, 13,
  17, 18, 15, 12, 10,  7, 20, 22, 21, 16, 13, 11,  8,  6,  5,  4,  3,  2,  1,
   2,  5,  7,  4,  3,  3,  2,  2,  6,  9,  6,  6,  5,  4,  4,  6, 10, 10, 10,
   9,  8,  7,  9, 14, 16, 15, 13, 11,  8, 15, 19, 22, 19, 15, 12,  9, 20, 23,
  24, 22, 16, 13, 10,  9, 11,  7,  4,  3,  2,  0, 10, 11,  9,  5,  3,  3,  3,
   9, 11, 12,  8,  7,  6,  5,  9, 13, 16, 13, 11, 10,  9, 12, 16, 20, 19, 16,
  13, 10, 17, 20, 24, 24, 18, 14, 11, 21, 25, 25, 25, 20, 16, 12, 32, 36, 39,
  42, 41, 39, 35, 31, 35, 37, 41, 41, 40, 35, 29, 33, 36, 39, 41, 39, 36, 29,
  32, 35, 39, 42, 40, 37, 29, 31, 35, 39, 42, 41, 37, 27, 31, 34, 38, 42, 40,
  36, 24, 28, 33, 37, 40, 41, 37, 30, 33, 36, 38, 38, 35, 31, 28, 31, 36, 38,
  37, 34, 32, 27, 31, 34, 37, 37, 35, 31, 25, 30, 34, 37, 36, 35, 33, 26, 29,
  33, 36, 36, 36, 33, 24, 29, 31, 35, 36, 35, 32, 21, 26, 30, 34, 34, 34, 32,
  27, 30, 31, 32, 33, 30, 24, 25, 29, 31, 32, 31, 30, 25, 25, 27, 28, 30, 31,
  30, 25, 21, 27, 28, 30, 29, 30, 26, 19, 26, 29, 30, 29, 28, 25, 15, 25, 26,
  28, 27, 27, 25, 16, 23, 24, 25, 27, 27, 25, 24, 24, 25, 25, 25, 22, 13, 21,
  23, 24, 24, 24, 21, 14, 17, 22, 22, 23, 22, 20, 15, 14, 22, 21, 22, 22, 20,
  18, 14, 19, 20, 21, 21, 19, 14, 15, 17, 19, 19, 19, 18, 11, 16, 14, 16, 18,
  18, 17,  8, 12, 16, 17, 17, 15, 10, 12,  9, 15, 15, 15, 14, 10, 13,  9, 13,
  13, 13, 12,  8, 11,  9, 10, 13, 13, 12,  9, 10, 10,  7, 11, 11, 10,  6,  8,
  10,  9,  8,  9,  9,  5,  8, 12, 11,  9,  7,  7,  4,  7,  4,  6,  6,  6,  7,
   9, 11,  4,  4,  4,  5,  6,  9, 10,  4,  2,  2,  3,  4,  7,  9,  4,  2,  1,
   1,  4,  6,  8,  5,  4,  4,  4,  4,  4,  7,  7,  6,  8,  6,  5,  4,  6,  8,
   9,  9,  7,  5,  4,  5,  0,  4,  3,  2,  4,  7,  9,  0,  4,  4,  2,  3,  7,
   9,  0,  4,  5,  2,  2,  6,  8,  0,  4,  5,  2,  2,  4,  6,  2,  4,  5,  5,
   5,  4,  5,  4,  6,  8,  8,  5,  5,  4,  8,  8,  9,  9,  6,  5,  4, 37, 41,
  45, 47, 47, 44, 41, 36, 40, 43, 47, 47, 44, 41, 35, 38, 43, 46, 47, 44, 41,
  33, 37, 41, 45, 48, 45, 42, 35, 37, 41, 45, 48, 46, 43, 33, 37, 40, 43, 47,
  46, 43, 31, 35, 39, 43, 46, 46, 43, 34, 39, 43, 44, 44, 39, 36, 34, 37, 42,
  44, 43, 41, 36, 33, 36, 40, 43, 43, 39, 36, 31, 36, 40, 43, 43, 41, 37, 30,
  36, 39, 42, 42, 42, 38, 28, 34, 37, 40, 40, 41, 37, 25, 32, 37, 40, 39, 39,
  37, 32, 36, 38, 37, 37, 34, 28, 31, 35, 37, 37, 38, 34, 28, 28, 33, 34, 36,
  36, 34, 28, 25, 34, 35, 34, 35, 34, 30, 23, 33, 35, 34, 35, 34, 29, 18, 30,
  32, 34, 34, 32, 30, 18, 28, 32, 31, 33, 32, 28, 29, 30, 31, 31, 30, 25, 16,
  25, 30, 30, 30, 28, 23, 18, 21, 28, 28, 29, 27, 22, 20, 17, 26, 28, 28, 27,
  23, 22, 18, 23, 27, 27, 27, 22, 18, 19, 20, 25, 25, 25, 21, 15, 18, 17, 22,
  23, 24, 21, 11, 16, 22, 23, 22, 17, 12, 16, 12, 20, 21, 21, 16, 11, 18, 13,
  16, 20, 19, 15,  9, 15, 12, 12, 19, 19, 15, 11, 14, 14, 10, 17, 17, 13,  8,
  11, 13, 11, 15, 15, 13,  7, 10, 14, 13, 12, 13, 11,  6,  9,  7, 11, 12,  9,
   9, 11, 13,  7,  8, 10,  8,  7, 10, 12,  7,  5,  8,  7,  6,  8, 10,  7,  4,
   7,  6,  6,  8, 10,  8,  6,  5,  5,  5,  6,  9,  9,  8,  7,  7,  5,  6,  8,
  11,  9,  8,  7,  6,  5,  7,  4,  0,  2,  4,  6,  9, 11,  4,  0,  2,  3,  5,
   7, 10,  4,  0,  3,  2,  5,  9, 10,  4,  1,  3,  2,  4,  5,  8,  4,  3,  5,
   5,  5,  5,  7,  6,  6,  8,  8,  6,  5,  6,  7,  8,  8,  8,  6,  5,  6, 39,
  41, 46, 47, 47, 45, 41, 37, 41, 43, 47, 46, 43, 40, 37, 39, 42, 46, 48, 45,
  42, 35, 38, 43, 46, 48, 46, 43, 36, 39, 43, 45, 49, 46, 44, 35, 38, 42, 45,
  48, 47, 43, 32, 35, 40, 43, 47, 47, 43, 36, 39, 43, 45, 43, 39, 36, 35, 38,
  42, 43, 44, 40, 35, 34, 37, 42, 44, 42, 40, 36, 32, 37, 41, 43, 42, 40, 37,
  31, 37, 40, 43, 43, 41, 37, 29, 35, 39, 42, 42, 40, 37, 25, 33, 38, 41, 40,
  39, 37, 35, 37, 37, 38, 38, 33, 26, 31, 36, 37, 37, 36, 33, 27, 29, 35, 37,
  37, 36, 33, 28, 25, 34, 36, 37, 36, 33, 30, 23, 34, 36, 36, 35, 32, 30, 19,
  31, 34, 35, 35, 32, 30, 19, 29, 33, 33, 33, 31, 27, 29, 31, 31, 31, 30, 24,
  16, 25, 30, 31, 30, 27, 22, 18, 21, 28, 29, 30, 27, 22, 20, 18, 26, 29, 28,
  28, 22, 23, 19, 23, 28, 28, 26, 21, 19, 19, 20, 26, 26, 26, 20, 16, 19, 17,
  24, 24, 24, 20, 12, 16, 23, 23, 22, 16, 10, 16, 13, 20, 22, 21, 15, 10, 17,
  13, 16, 21, 20, 15,  9, 16, 12, 13, 21, 19, 15,  9, 15, 14, 11, 19, 19, 13,
   7, 11, 15, 12, 16, 16, 12,  7,  9, 15, 14, 14, 15, 11,  7,  8,  7, 12, 13,
   8,  7,  9, 12,  8,  7, 12,  8,  6,  8, 10,  7,  4, 10,  7,  6,  8, 10,  7,
   5,  9,  7,  5,  7,  9,  9,  7,  7,  5,  6,  7,  8, 10,  9,  9, 10,  7,  6,
   7, 12, 10, 11, 11,  9,  6,  7,  4,  2,  2,  3,  5,  7,  9,  4,  2,  0,  3,
   5,  6,  9,  4,  2,  2,  2,  5,  8,  9,  4,  2,  5,  3,  4,  6,  8,  5,  4,
   9, 10,  8,  6,  7,  7,  8, 14, 14, 11,  7,  6,  8, 12, 15, 15, 12,  8,  6,
  31, 35, 38, 40, 41, 38, 34, 30, 34, 37, 40, 41, 37, 34, 29, 31, 36, 39, 41,
  39, 35, 28, 32, 36, 38, 42, 39, 36, 29, 32, 35, 39, 42, 40, 36, 28, 32, 34,
  38, 40, 40, 36, 25, 29, 33, 36, 40, 40, 35, 30, 33, 36, 38, 36, 32, 28, 28,
  31, 34, 37, 36, 32, 29, 27, 30, 34, 36, 36, 34, 30, 26, 30, 34, 36, 36, 34,
  30, 26, 30, 33, 36, 36, 35, 31, 24, 29, 32, 34, 35, 34, 30, 22, 26, 31, 34,
  34, 33, 30, 28, 30, 31, 31, 31, 27, 20, 26, 29, 29, 30, 29, 27, 21, 24, 29,
  29, 30, 30, 27, 22, 20, 28, 30, 30, 29, 27, 24, 18, 28, 29, 29, 29, 27, 23,
  16, 26, 28, 28, 28, 26, 23, 17, 24, 25, 26, 27, 26, 21, 24, 25, 24, 24, 22,
  18, 10, 20, 23, 23, 24, 22, 17, 12, 16, 22, 22, 22, 21, 16, 15, 13, 21, 22,
  22, 21, 17, 18, 14, 19, 22, 21, 20, 16, 14, 15, 17, 19, 20, 19, 16, 10, 17,
  15, 18, 18, 18, 16,  7, 12, 17, 16, 16, 11,  5, 11,  8, 15, 15, 15, 11,  6,
  12,  9, 12, 14, 14, 11,  5, 10,  9,  9, 14, 13, 11,  5, 10, 10,  8, 13, 12,
  10,  6,  7, 11, 10, 10, 10,  9,  5,  6, 13, 12, 11,  9,  8,  6,  5,  4,  7,
   7,  5,  4,  5,  7,  4,  5,  5,  5,  3,  5,  6,  4,  3,  4,  4,  4,  5,  6,
   4,  3,  3,  3,  4,  5,  5,  6,  5,  8,  8,  8,  6,  5,  8,  9, 14, 13, 10,
   7,  5, 10, 13, 16, 14, 11,  8,  5,  2,  3,  2,  2,  3,  4,  5,  2,  3,  3,
   0,  2,  4,  5,  2,  3,  4,  2,  2,  4,  5,  2,  5,  8,  6,  5,  5,  5,  4,
   8, 12, 12, 10,  8,  6,  7, 12, 17, 18, 13,  9,  6, 12, 17, 19, 18, 14, 10,
   7, 25, 29, 32, 35, 35, 31, 29, 24, 28, 30, 35, 35, 32, 28, 23, 26, 30, 33,
  35, 32, 30, 23, 26, 30, 33, 36, 33, 30, 24, 25, 29, 32, 36, 34, 30, 22, 25,
  28, 32, 35, 33, 30, 20, 23, 27, 31, 33, 34, 30, 24, 26, 30, 33, 30, 28, 23,
  23, 25, 28, 32, 31, 28, 24, 22, 23, 28, 31, 30, 27, 24, 21, 24, 27, 30, 30,
  28, 25, 21, 25, 27, 30, 29, 29, 25, 20, 23, 25, 29, 29, 29, 25, 17, 20, 24,
  27, 28, 27, 25, 22, 24, 25, 26, 26, 22, 17, 21, 22, 24, 25, 24, 23, 17, 20,
  22, 24, 24, 24, 22, 17, 17, 23, 24, 23, 24, 23, 18, 15, 22, 23, 22, 23, 22,
  18, 13, 20, 21, 21, 22, 21, 18, 15, 18, 19, 20, 20, 21, 17, 20, 19, 18, 18,
  19, 15,  7, 16, 18, 18, 17, 17, 14,  8, 14, 18, 17, 16, 17, 14, 10, 10, 17,
  17, 16, 16, 14, 13, 12, 16, 16, 15, 16, 13,  9, 12, 14, 14, 14, 14, 12,  6,
  15, 16, 12, 12, 13, 12,  5,  9, 11, 11, 11,  9,  4,  6,  5, 10,  9,  9,  8,
   3,  8,  5,  9,  8,  8,  8,  3,  6,  5,  7,  9,  8,  7,  4,  6,  7,  6,  7,
   7,  7,  6,  4,  9, 10, 12, 10,  8,  6,  5, 13, 16, 16, 11,  9,  7,  5,  2,
   2,  1,  2,  2,  3,  4,  2,  2,  1,  0,  2,  3,  4,  2,  2,  2,  2,  2,  3,
   4,  2,  4,  6,  6,  5,  5,  5,  4,  8, 11, 10,  9,  7,  5,  8, 13, 18, 15,
  11,  8,  6, 14, 18, 19, 17, 12,  9,  7,  4,  5,  3,  2,  1,  2,  3,  4,  5,
   4,  2,  0,  2,  4,  4,  5,  6,  4,  3,  2,  3,  4,  7, 10,  8,  7,  6,  6,
   7, 11, 14, 14, 11,  9,  7, 11, 15, 19, 19, 14, 10,  7, 16, 19, 20, 20, 16,
  12,  8, 21, 24, 27, 31, 32, 29, 25, 19, 23, 27, 30, 31, 28, 24, 18, 22, 26,
  29, 30, 28, 25, 18, 21, 24, 28, 31, 28, 25, 19, 21, 24, 27, 31, 29, 25, 17,
  20, 23, 26, 30, 29, 25, 15, 19, 22, 26, 29, 29, 26, 19, 21, 25, 29, 28, 25,
  21, 18, 20, 24, 28, 27, 24, 20, 17, 20, 22, 26, 25, 23, 21, 16, 20, 22, 25,
  25, 24, 21, 17, 19, 22, 24, 24, 24, 21, 15, 18, 21, 23, 24, 23, 21, 16, 16,
  19, 22, 22, 22, 21, 17, 19, 21, 22, 22, 20, 16, 16, 18, 19, 21, 21, 19, 14,
  16, 17, 19, 19, 19, 18, 15, 14, 18, 18, 18, 18, 18, 16, 13, 17, 18, 18, 17,
  18, 15, 11, 15, 17, 17, 17, 16, 15, 17, 16, 15, 15, 16, 16, 14, 16, 14, 14,
  14, 15, 14,  6, 14, 13, 13, 13, 13, 12,  5, 11, 12, 12, 12, 11, 11,  6,  8,
  12, 12, 12, 11, 11,  9,  9, 11, 11, 11, 10, 10,  6, 11, 11, 11,  9,  9,  9,
   4, 17, 18, 13, 10,  8,  8,  4,  7,  7,  6,  6,  7,  4,  5,  2,  5,  5,  5,
   5,  3,  5,  2,  4,  3,  3,  3,  2,  3,  2,  3,  3,  3,  4,  4,  4,  5,  8,
   8,  7,  8,  6,  4,  9, 13, 14, 12,  9,  7,  5, 16, 18, 17, 13, 10,  8,  5,
   2,  3,  2,  2,  2,  3,  4,  2,  4,  3,  2,  2,  2,  2,  2,  5,  4,  3,  2,
   2,  2,  2,  6,  7,  6,  6,  5,  5,  6, 10, 13, 11, 10,  8,  5, 11, 15, 18,
  16, 12,  9,  6, 16, 19, 19, 18, 13, 10,  7,  6,  8,  5,  3,  2,  2,  3,  6,
   7,  7,  4,  2,  0,  2,  6,  7,  8,  5,  4,  3,  3,  6,  9, 12,  9,  8,  7,
   6,  8, 12, 16, 15, 12, 10,  7, 13, 16, 20, 21, 15, 11,  8, 18, 21, 20, 21,
  16, 12,  9, 17, 20, 24, 28, 28, 25, 22, 16, 19, 23, 27, 28, 24, 20, 14, 17,
  21, 24, 26, 24, 20, 13, 17, 20, 23, 27, 24, 21, 14, 17, 20, 23, 27, 25, 21,
  12, 15, 19, 22, 26, 24, 21, 14, 14, 18, 21, 25, 24, 21, 14, 18, 22, 25, 24,
  21, 18, 13, 17, 20, 23, 23, 20, 16, 13, 15, 18, 21, 21, 19, 16, 12, 15, 18,
  20, 21, 19, 16, 12, 15, 18, 20, 20, 20, 17, 10, 13, 16, 19, 20, 19, 17, 16,
  15, 15, 18, 18, 18, 17, 13, 16, 17, 18, 19, 17, 13, 12, 14, 16, 16, 17, 15,
  11, 10, 13, 14, 14, 14, 14, 11, 10, 13, 14, 14, 14, 14, 12,  9, 12, 14, 13,
  13, 14, 12, 12, 12, 12, 12, 13, 12, 12, 18, 17, 13, 11, 11, 11, 11, 11, 10,
  10, 11, 12, 12,  5, 10,  9,  9,  9, 10, 10,  3,  8,  8,  8,  8,  7,  7,  3,
   5,  8,  7,  7,  7,  7,  5,  7,  7,  7,  6,  6,  6,  3, 12, 13, 11,  9,  7,
   6,  4, 18, 18, 14, 10,  8,  6,  4,  2,  2,  2,  3,  3,  4,  4,  1,  1,  0,
   1,  2,  2,  3,  1,  2,  2,  2,  1,  1,  2,  1,  5,  5,  4,  4,  4,  3,  5,
  10,  9,  8,  8,  6,  4, 11, 14, 14, 12, 10,  7,  5, 17, 19, 17, 13, 10,  8,
   5,  5,  5,  4,  3,  3,  3,  4,  5,  7,  4,  4,  3,  1,  2,  5,  8,  6,  4,
   3,  2,  2,  5,  9,  9,  7,  6,  6,  5,  9, 12, 14, 12, 10,  8,  5, 12, 16,
  19, 16, 12,  9,  6, 17, 19, 20, 18, 14, 10,  7,  9, 10,  7,  5,  3,  2,  3,
  10, 10,  9,  5,  4,  2,  0,  9, 10, 11,  7,  5,  4,  3, 10, 11, 14, 10,  8,
   7,  6, 10, 14, 17, 16, 13, 10,  8, 14, 17, 21, 20, 15, 11,  8, 18, 20, 22,
  22, 17, 12,  9, 32, 35, 38, 41, 41, 38, 36, 30, 34, 37, 41, 41, 39, 37, 29,
  32, 37, 40, 42, 39, 37, 28, 32, 36, 39, 42, 39, 37, 28, 31, 35, 39, 42, 41,
  36, 28, 30, 34, 38, 41, 40, 36, 25, 29, 33, 37, 40, 39, 37, 29, 33, 36, 39,
  38, 35, 32, 28, 32, 35, 39, 37, 35, 31, 27, 31, 34, 37, 37, 35, 31, 25, 30,
  33, 36, 36, 36, 33, 25, 30, 33, 36, 35, 36, 32, 24, 27, 31, 35, 36, 35, 33,
  21, 26, 30, 34, 34, 34, 32, 27, 31, 31, 32, 32, 30, 25, 26, 29, 31, 32, 32,
  30, 25, 24, 28, 30, 30, 30, 30, 24, 21, 28, 28, 30, 30, 29, 26, 18, 26, 28,
  29, 29, 29, 25, 15, 25, 27, 27, 28, 28, 25, 16, 22, 25, 26, 26, 27, 25, 24,
  25, 24, 25, 25, 23, 13, 20, 23, 24, 24, 24, 21, 14, 18, 22, 23, 22, 22, 20,
  15, 14, 21, 21, 22, 22, 20, 18, 14, 19, 20, 21, 21, 19, 14, 15, 17, 18, 19,
  19, 18, 11, 16, 14, 16, 17, 18, 17,  8, 12, 16, 17, 17, 15, 10, 13,  9, 15,
  15, 15, 13, 10, 14,  9, 13, 13, 13, 12,  8, 12,  9,  9, 12, 12, 12,  9, 10,
  10,  7, 11, 11, 10,  6,  8, 10,  9,  8,  8,  9,  5,  8, 12, 10,  9,  7,  7,
   4,  7,  4,  6,  6,  6,  7,  9, 11,  4,  4,  4,  5,  6,  9, 10,  4,  2,  2,
   3,  4,  7,  9,  4,  2,  1,  1,  3,  6,  8,  5,  4,  4,  4,  4,  4,  7,  7,
   6,  8,  6,  5,  4,  6,  9,  9,  9,  7,  5,  4,  6,  0,  4,  3,  2,  4,  7,
   9,  0,  4,  4,  2,  4,  6,  8,  0,  4,  5,  2,  2,  6,  8,  0,  4,  4,  2,
   2,  4,  6,  2,  4,  5,  5,  5,  4,  5,  4,  6,  8,  8,  6,  5,  4,  8,  8,
   9,  9,  6,  5,  4, 38, 41, 44, 47, 47, 44, 41, 37, 40, 43, 47, 47, 45, 42,
  35, 39, 42, 46, 47, 45, 42, 34, 37, 42, 45, 48, 46, 42, 34, 38, 41, 45, 49,
  46, 43, 34, 36, 41, 44, 48, 46, 42, 32, 35, 38, 42, 46, 46, 42, 35, 39, 43,
  44, 42, 39, 36, 34, 38, 41, 45, 43, 39, 36, 33, 36, 39, 43, 42, 40, 36, 31,
  36, 39, 43, 41, 40, 37, 31, 35, 39, 43, 41, 41, 37, 28, 34, 38, 41, 40, 40,
  37, 24, 31, 36, 39, 40, 39, 37, 33, 36, 38, 38, 37, 34, 27, 32, 34, 37, 38,
  37, 33, 28, 28, 33, 36, 35, 36, 34, 28, 25, 34, 35, 36, 35, 34, 30, 22, 33,
  35, 35, 35, 33, 30, 19, 31, 32, 33, 33, 32, 29, 19, 28, 31, 32, 33, 31, 28,
  29, 31, 30, 30, 29, 25, 16, 24, 29, 29, 29, 28, 24, 18, 21, 28, 29, 29, 27,
  23, 19, 17, 26, 27, 28, 28, 23, 22, 18, 23, 27, 26, 26, 22, 19, 19, 19, 25,
  25, 24, 22, 14, 19, 17, 23, 24, 24, 20, 11, 16, 22, 21, 22, 17, 12, 16, 13,
  20, 21, 20, 16, 12, 17, 12, 16, 20, 19, 16,  9, 15, 12, 12, 19, 19, 15, 10,
  14, 14, 10, 18, 17, 14,  8, 11, 14, 11, 15, 15, 12,  7, 10, 15, 13, 12, 13,
  11,  6,  9,  7, 11, 12,  9,  9, 10, 13,  7,  8, 10,  8,  7, 10, 12,  7,  5,
   8,  7,  6,  8, 10,  7,  5,  7,  6,  6,  8,  9,  8,  6,  6,  5,  5,  6,  9,
   9,  8,  7,  7,  5,  6,  8, 11,  9,  8,  7,  6,  5,  7,  4,  0,  2,  4,  6,
   9, 11,  4,  0,  2,  3,  5,  7, 10,  4,  0,  3,  2,  5,  9,  9,  4,  1,  3,
   2,  4,  5,  8,  4,  3,  5,  5,  5,  5,  7,  6,  6,  8,  8,  6,  5,  6,  7,
   9,  8,  8,  6,  5,  6, 41, 44, 47, 50, 50, 47, 43, 40, 43, 48, 50, 51, 47,
  44, 39, 42, 46, 48, 51, 46, 44, 37, 41, 45, 48, 51, 48, 45, 38, 41, 45, 49,
  51, 49, 45, 37, 40, 44, 47, 51, 49, 46, 34, 38, 42, 46, 49, 48, 44, 39, 42,
  46, 48, 46, 42, 38, 38, 41, 45, 48, 46, 42, 37, 37, 40, 43, 46, 45, 43, 39,
  33, 40, 43, 46, 46, 43, 39, 33, 40, 43, 45, 45, 44, 39, 30, 38, 40, 44, 44,
  43, 38, 27, 36, 40, 43, 42, 41, 39, 37, 40, 41, 40, 40, 37, 29, 34, 39, 39,
  41, 38, 36, 29, 31, 38, 40, 38, 38, 36, 30, 27, 37, 38, 40, 37, 36, 32, 25,
  35, 38, 38, 37, 35, 32, 21, 33, 36, 36, 36, 34, 32, 21, 30, 35, 35, 36, 33,
  29, 31, 34, 33, 34, 31, 27, 19, 26, 32, 34, 33, 31, 25, 20, 23, 30, 32, 31,
  30, 24, 22, 19, 27, 31, 32, 29, 23, 25, 20, 25, 31, 30, 28, 22, 21, 21, 22,
  29, 28, 27, 22, 17, 21, 18, 26, 27, 26, 21, 14, 18, 26, 26, 25, 18, 13, 19,
  14, 22, 25, 24, 17, 12, 20, 14, 18, 23, 23, 16, 10, 18, 14, 15, 22, 22, 15,
  10, 17, 15, 12, 21, 20, 14,  9, 13, 16, 13, 18, 18, 14,  8, 10, 16, 14, 15,
  17, 12,  8,  9,  9, 13, 15, 10,  9, 11, 15,  9,  9, 14, 10,  8, 10, 13,  9,
   5, 12,  8,  7,  9, 11,  9,  6, 11,  8,  7,  9, 10, 11,  8,  9,  6,  6,  7,
   9, 11,  9,  8,  8,  6,  7,  9, 12, 11,  9,  9,  8,  6,  7,  5,  3,  3,  5,
   7,  9, 12,  5,  3,  2,  4,  6,  8, 11,  5,  3,  0,  4,  7,  9, 11,  5,  3,
   3,  3,  4,  7,  9,  6,  4,  7,  8,  7,  6,  8,  7,  6, 10, 11,  8,  6,  7,
   9, 10, 11, 11,  9,  7,  6, 34, 38, 42, 44, 45, 41, 37, 32, 37, 41, 44, 44,
  41, 37, 31, 35, 39, 43, 43, 41, 36, 30, 33, 37, 40, 43, 40, 37, 30, 33, 37,
  40, 43, 40, 38, 29, 32, 35, 40, 42, 41, 36, 26, 31, 35, 38, 42, 41, 38, 32,
  35, 39, 43, 40, 36, 33, 31, 34, 38, 41, 40, 37, 32, 30, 32, 36, 39, 38, 35,
  30, 27, 31, 34, 37, 38, 35, 31, 27, 31, 34, 38, 37, 36, 31, 25, 30, 33, 36,
  37, 35, 31, 21, 27, 32, 35, 35, 34, 31, 29, 33, 34, 35, 33, 31, 25, 27, 31,
  33, 35, 33, 30, 24, 24, 30, 31, 32, 31, 29, 23, 21, 30, 30, 30, 30, 28, 24,
  19, 28, 30, 30, 29, 28, 24, 16, 26, 28, 28, 29, 26, 25, 16, 24, 27, 26, 28,
  26, 22, 23, 27, 26, 28, 27, 22, 15, 20, 25, 26, 26, 26, 21, 15, 17, 23, 24,
  24, 23, 18, 16, 14, 23, 23, 23, 21, 18, 19, 15, 19, 23, 22, 21, 17, 15, 15,
  17, 21, 21, 20, 16, 11, 16, 15, 19, 19, 20, 16,  7, 13, 19, 18, 19, 15,  9,
  15,  9, 17, 18, 17, 14,  8, 15,  9, 13, 16, 15, 12,  6, 12,  9, 10, 15, 14,
  11,  6, 10, 10,  8, 14, 13, 10,  5,  7, 11,  9, 11, 11,  9,  4,  5, 12, 11,
   9, 10,  8,  4,  5,  4,  9,  9,  8,  6,  8, 11,  4,  6,  8,  7,  5,  7,  9,
   4,  3,  5,  5,  3,  5,  6,  4,  3,  4,  4,  3,  4,  5,  6,  4,  5,  5,  6,
   4,  5,  7,  6, 11, 10,  7,  5,  5,  9, 11, 12, 12,  9,  6,  4,  2,  2,  2,
   3,  5,  7,  8,  2,  2,  2,  2,  4,  5,  7,  2,  2,  3,  0,  3,  5,  6,  2,
   3,  6,  4,  3,  3,  4,  3,  5,  9, 10,  8,  5,  4,  5,  9, 15, 15, 11,  7,
   4,  9, 14, 17, 17, 12,  8,  5, 27, 33, 36, 39, 39, 37, 33, 27, 30, 35, 38,
  40, 37, 32, 25, 29, 34, 37, 38, 34, 30, 25, 27, 32, 35, 37, 34, 32, 25, 27,
  30, 34, 37, 35, 31, 24, 26, 29, 33, 36, 34, 31, 21, 24, 28, 32, 35, 34, 32,
  26, 29, 34, 37, 35, 32, 28, 24, 29, 32, 35, 36, 32, 27, 24, 26, 30, 33, 33,
  30, 25, 23, 25, 28, 31, 31, 29, 26, 23, 25, 28, 31, 31, 28, 26, 21, 24, 27,
  30, 30, 29, 26, 18, 22, 25, 28, 29, 28, 26, 24, 26, 29, 30, 30, 27, 22, 22,
  25, 28, 28, 29, 26, 20, 21, 24, 26, 26, 26, 25, 18, 17, 24, 24, 24, 25, 24,
  19, 16, 23, 23, 23, 23, 22, 19, 13, 21, 22, 22, 22, 20, 19, 14, 19, 21, 21,
  21, 21, 17, 21, 22, 21, 22, 23, 20, 13, 17, 20, 21, 21, 21, 18, 12, 14, 19,
  19, 18, 19, 15, 12, 11, 19, 17, 17, 17, 14, 13, 12, 16, 16, 17, 16, 13, 10,
  13, 14, 15, 15, 15, 13,  7, 14, 13, 13, 13, 13, 13,  4,  9, 14, 14, 15, 13,
   9, 13,  6, 13, 12, 13, 12,  6, 12,  6, 10, 10, 10,  9,  4,  8,  6,  7,  9,
   9,  8,  4,  6,  7,  5,  8,  7,  7,  3,  4,  8,  7,  8,  7,  6,  3,  4, 10,
  11, 11,  8,  5,  4,  3,  2,  4,  5,  5,  5,  7,  9,  2,  2,  3,  4,  4,  5,
   7,  2,  0,  1,  1,  2,  3,  4,  2,  2,  3,  2,  2,  2,  3,  4,  5,  8,  7,
   6,  4,  3,  5,  9, 14, 12,  8,  5,  3, 10, 13, 16, 13,  9,  6,  3,  3,  6,
   4,  2,  5,  6,  7,  2,  5,  5,  2,  3,  4,  5,  3,  6,  7,  3,  0,  3,  4,
   2,  5,  7,  5,  4,  3,  3,  4,  7, 11, 11,  8,  6,  4,  7, 11, 15, 15, 11,
   7,  4, 12, 16, 16, 16, 12,  8,  5, 24, 29, 32, 36, 35, 32, 29, 23, 27, 31,
  35, 34, 31, 28, 21, 25, 29, 33, 34, 30, 26, 20, 22, 26, 30, 32, 29, 27, 19,
  22, 24, 28, 32, 30, 27, 18, 21, 23, 27, 31, 30, 27, 16, 19, 23, 26, 29, 30,
  26, 22, 25, 28, 33, 31, 28, 25, 20, 24, 28, 31, 31, 27, 24, 19, 22, 26, 30,
  29, 26, 22, 18, 20, 23, 26, 26, 25, 21, 18, 20, 22, 26, 26, 25, 22, 16, 19,
  22, 25, 24, 24, 22, 13, 17, 20, 23, 23, 24, 22, 19, 22, 24, 26, 26, 24, 20,
  18, 21, 23, 24, 25, 23, 18, 17, 20, 22, 21, 22, 21, 16, 15, 19, 19, 19, 20,
  19, 15, 13, 17, 19, 18, 18, 18, 15, 11, 16, 17, 17, 18, 17, 16, 13, 14, 15,
  16, 16, 17, 14, 17, 17, 17, 18, 19, 18, 10, 15, 16, 17, 17, 17, 15,  9, 11,
  15, 15, 15, 14, 13,  8,  8, 14, 13, 12, 12, 11, 10,  9, 12, 12, 11, 11, 10,
   6, 10, 10, 10, 10, 10,  9,  3, 13, 14, 10,  8,  9,  8,  3,  7,  9, 10, 10,
  11,  8, 10,  3,  7,  8,  9,  9,  5,  9,  3,  6,  6,  6,  6,  3,  5,  3,  4,
   4,  4,  3,  2,  3,  5,  5,  4,  4,  4,  3,  3,  7,  9, 10,  8,  6,  4,  2,
  11, 14, 13, 10,  7,  4,  2,  0,  2,  2,  3,  4,  6,  8,  0,  4,  3,  3,  3,
   4,  5,  0,  4,  3,  2,  1,  2,  3,  0,  5,  5,  3,  3,  2,  2,  3,  7,  9,
   8,  7,  4,  2,  7, 12, 15, 12,  9,  5,  3, 12, 15, 16, 14, 10,  7,  4,  6,
   9,  6,  3,  3,  5,  6,  6,  9,  8,  4,  2,  3,  4,  6,  9, 11,  5,  3,  0,
   3,  6,  7,  9,  6,  4,  4,  3,  6,  9, 12, 12,  9,  6,  4,  9, 13, 16, 16,
  11,  8,  4, 14, 17, 17, 17, 13,  9,  5, 20, 23, 27, 31, 30, 28, 24, 19, 22,
  26, 31, 31, 27, 24, 17, 21, 25, 28, 29, 26, 22, 16, 19, 22, 25, 27, 24, 21,
  14, 17, 20, 23, 27, 25, 22, 14, 16, 19, 23, 26, 25, 21, 11, 14, 18, 22, 25,
  25, 22, 17, 20, 25, 29, 28, 25, 21, 16, 20, 24, 28, 27, 23, 20, 15, 18, 22,
  24, 24, 22, 18, 14, 16, 19, 21, 21, 19, 17, 13, 16, 18, 20, 20, 21, 17, 11,
  14, 17, 20, 20, 20, 17, 12, 12, 16, 19, 19, 18, 17, 15, 18, 21, 22, 23, 21,
  16, 14, 17, 19, 20, 21, 20, 15, 13, 16, 18, 18, 18, 17, 13, 12, 14, 14, 14,
  15, 15, 12, 10, 13, 14, 14, 14, 14, 12,  9, 11, 12, 12, 13, 12, 12, 13, 12,
  11, 11, 11, 11, 11, 13, 13, 13, 14, 15, 15,  8, 11, 11, 12, 13, 13, 13,  7,
   9, 10, 11, 10, 10, 10,  6,  5,  9,  8,  7,  7,  7,  6,  7,  7,  7,  7,  6,
   6,  3,  9,  9,  8,  6,  5,  5,  2, 13, 13,  9,  7,  5,  4,  2,  4,  5,  5,
   6,  7,  7,  8,  1,  3,  4,  5,  5,  5,  6,  1,  1,  2,  2,  2,  2,  3,  1,
   3,  2,  1,  2,  1,  2,  3,  6,  6,  5,  5,  3,  2,  8, 11, 11,  9,  6,  4,
   2, 12, 14, 13, 10,  8,  6,  3,  5,  5,  4,  4,  4,  6,  7,  5,  7,  4,  4,
   4,  3,  4,  5,  7,  5,  4,  2,  1,  2,  5,  7,  6,  5,  3,  3,  2,  6,  9,
  11,  9,  7,  6,  3,  9, 12, 15, 13,  9,  6,  4, 13, 15, 16, 14, 10,  7,  4,
   8, 10,  7,  4,  4,  5,  5,  8, 10,  9,  5,  3,  3,  3,  8, 10, 11,  6,  4,
   3,  0,  8,  9, 11,  7,  5,  4,  3,  8, 10, 14, 13,  9,  7,  5, 11, 14, 17,
  16, 12,  8,  6, 14, 16, 17, 17, 13,  9,  6, 32, 35, 38, 42, 42, 39, 35, 31,
  35, 38, 41, 41, 39, 37, 29, 33, 37, 40, 41, 39, 37, 29, 31, 35, 38, 42, 39,
  37, 28, 31, 35, 39, 42, 40, 37, 27, 31, 35, 37, 41, 40, 36, 24, 28, 33, 36,
  41, 39, 36, 29, 33, 37, 39, 38, 34, 32, 29, 32, 35, 38, 37, 35, 31, 27, 30,
  33, 38, 37, 34, 32, 26, 29, 33, 36, 36, 35, 33, 26, 29, 33, 35, 36, 36, 33,
  23, 28, 31, 35, 35, 35, 33, 21, 25, 29, 33, 34, 34, 32, 27, 31, 32, 32, 33,
  30, 24, 26, 28, 32, 31, 32, 29, 25, 24, 28, 29, 30, 30, 29, 24, 21, 28, 28,
  29, 30, 30, 26, 19, 26, 29, 28, 29, 28, 26, 15, 24, 27, 27, 28, 27, 26, 16,
  22, 25, 25, 27, 26, 25, 24, 25, 25, 25, 25, 22, 13, 21, 23, 24, 24, 24, 21,
  14, 18, 22, 23, 23, 22, 20, 15, 13, 22, 22, 22, 23, 20, 17, 15, 20, 21, 21,
  21, 19, 14, 15, 17, 19, 19, 19, 18, 11, 16, 14, 16, 17, 18, 17,  8, 12, 17,
  16, 17, 14, 10, 13,  9, 15, 15, 15, 14, 10, 14,  9, 12, 13, 13, 13,  8, 12,
   9, 10, 13, 12, 12,  9, 10, 10,  7, 11, 11, 10,  6,  8, 10,  9,  8,  9,  9,
   5,  8, 12, 10,  9,  7,  7,  4,  7,  4,  6,  6,  6,  7,  9, 10,  4,  4,  4,
   5,  5,  9, 10,  4,  2,  2,  3,  4,  7,  9,  4,  2,  1,  1,  4,  6,  8,  5,
   4,  4,  4,  4,  4,  7,  7,  6,  8,  6,  4,  4,  6,  9,  9,  8,  7,  5,  4,
   5,  0,  4,  3,  2,  4,  7,  9,  0,  4,  4,  2,  4,  6,  8,  0,  4,  5,  2,
   2,  6,  8,  0,  4,  4,  2,  2,  4,  6,  2,  4,  6,  5,  5,  4,  5,  4,  6,
   8,  8,  6,  5,  4,  8,  8,  9,  9,  6,  5,  4, 38, 42, 46, 49, 49, 46, 42,
  37, 41, 46, 48, 50, 45, 42, 36, 39, 44, 47, 48, 45, 40, 34, 38, 41, 45, 48,
  44, 41, 34, 37, 41, 45, 48, 45, 41, 32, 37, 40, 43, 47, 46, 42, 30, 34, 39,
  43, 46, 46, 42, 36, 40, 44, 46, 44, 41, 37, 34, 38, 42, 45, 45, 40, 37, 33,
  37, 42, 43, 44, 41, 38, 30, 36, 39, 42, 40, 39, 37, 30, 35, 38, 42, 42, 40,
  36, 27, 33, 36, 40, 41, 39, 38, 24, 31, 35, 39, 39, 37, 37, 32, 36, 39, 39,
  39, 36, 29, 32, 35, 37, 39, 37, 35, 29, 28, 34, 36, 37, 36, 35, 28, 25, 34,
  33, 34, 35, 33, 29, 22, 32, 34, 34, 34, 33, 30, 18, 29, 31, 33, 33, 32, 29,
  17, 27, 30, 31, 32, 31, 27, 28, 31, 32, 31, 31, 27, 19, 24, 30, 31, 31, 30,
  25, 19, 20, 27, 29, 28, 28, 24, 21, 16, 26, 27, 27, 26, 22, 22, 17, 22, 26,
  26, 25, 22, 18, 18, 19, 24, 24, 24, 21, 14, 17, 15, 22, 23, 23, 20, 11, 15,
  22, 23, 24, 18, 14, 19, 12, 20, 22, 21, 18, 13, 19, 12, 16, 19, 19, 17, 10,
  16, 12, 12, 18, 18, 15, 10, 13, 13,  9, 17, 16, 13,  8, 10, 12, 10, 14, 14,
  12,  7, 10, 13, 12, 11, 12, 10,  6,  8,  7, 11, 13, 11,  9, 12, 15,  7,  7,
  11, 10,  8, 11, 13,  7,  5,  9,  8,  7,  8, 11,  7,  4,  7,  6,  7,  9,  9,
   7,  5,  5,  4,  4,  6,  8,  8,  7,  6,  6,  4,  5,  8, 10,  8,  8,  6,  5,
   4,  6,  4,  1,  2,  6,  8, 10, 13,  4,  1,  2,  5,  7,  9, 10,  4,  1,  3,
   3,  5,  7,  9,  4,  0,  3,  1,  3,  5,  7,  4,  2,  4,  4,  4,  4,  6,  5,
   5,  7,  7,  5,  4,  6,  7,  7,  7,  7,  5,  4,  5, 45, 49, 52, 55, 56, 52,
  48, 43, 47, 51, 55, 54, 51, 47, 41, 45, 50, 52, 53, 50, 46, 40, 44, 47, 51,
  52, 49, 46, 38, 41, 45, 49, 52, 50, 46, 37, 41, 44, 48, 51, 50, 46, 34, 39,
  43, 47, 50, 49, 47, 42, 45, 49, 53, 51, 48, 43, 40, 45, 49, 53, 51, 47, 42,
  37, 43, 47, 51, 49, 46, 40, 35, 40, 44, 48, 46, 45, 40, 33, 41, 44, 46, 45,
  45, 40, 30, 39, 42, 45, 45, 44, 40, 26, 36, 40, 44, 43, 42, 40, 38, 43, 45,
  46, 45, 42, 34, 34, 41, 44, 44, 44, 40, 34, 31, 40, 42, 41, 41, 39, 33, 28,
  37, 39, 39, 38, 36, 33, 24, 36, 38, 40, 38, 35, 33, 21, 32, 37, 37, 37, 34,
  33, 19, 30, 34, 35, 35, 34, 30, 31, 37, 38, 37, 36, 32, 25, 27, 34, 36, 35,
  35, 30, 25, 24, 31, 35, 34, 33, 27, 25, 20, 28, 31, 32, 30, 25, 26, 20, 25,
  31, 31, 29, 23, 22, 21, 21, 29, 29, 28, 23, 19, 20, 17, 26, 28, 27, 22, 14,
  18, 27, 29, 29, 23, 19, 25, 15, 23, 27, 27, 22, 16, 25, 15, 19, 25, 25, 20,
  13, 20, 15, 15, 23, 23, 17, 11, 17, 15, 12, 21, 21, 15, 10, 14, 16, 12, 18,
  19, 15,  8, 12, 15, 13, 14, 17, 13,  8, 12, 10, 14, 19, 15, 13, 16, 21, 10,
  10, 17, 13, 12, 14, 18, 10,  6, 15, 11,  9, 11, 14, 10,  5, 11,  8,  7, 10,
  11, 10,  6,  9,  6,  5,  8, 10, 10,  8,  6,  5,  4,  6, 10, 11,  9,  7,  5,
   4,  6,  8,  5,  3,  6,  9, 12, 14, 16,  5,  3,  5,  8, 10, 12, 14,  5,  3,
   3,  6,  7,  9, 11,  5,  3,  0,  3,  6, 10, 10,  5,  3,  3,  3,  3,  5,  8,
   6,  5,  5,  6,  4,  5,  7,  8,  6,  6,  6,  5,  4,  6, 38, 43, 47, 49, 51,
  47, 43, 36, 41, 43, 50, 49, 46, 41, 35, 39, 44, 46, 47, 45, 39, 34, 37, 40,
  44, 46, 42, 38, 31, 34, 38, 42, 44, 42, 38, 30, 34, 36, 40, 44, 43, 37, 28,
  31, 35, 39, 42, 42, 38, 34, 40, 44, 47, 45, 42, 38, 34, 38, 42, 46, 45, 41,
  37, 32, 36, 40, 43, 43, 39, 34, 31, 34, 37, 40, 39, 38, 33, 27, 32, 35, 38,
  38, 37, 33, 24, 32, 34, 37, 37, 36, 33, 20, 29, 33, 36, 36, 35, 34, 33, 36,
  38, 38, 39, 36, 30, 29, 34, 38, 39, 39, 35, 29, 26, 33, 36, 36, 36, 34, 27,
  23, 31, 32, 33, 33, 31, 26, 19, 29, 32, 32, 31, 29, 25, 15, 28, 30, 31, 31,
  28, 25, 15, 25, 28, 29, 29, 27, 24, 26, 30, 31, 31, 32, 28, 21, 22, 29, 30,
  31, 30, 25, 20, 18, 26, 28, 29, 27, 23, 20, 16, 22, 25, 25, 25, 19, 20, 14,
  19, 25, 24, 23, 17, 16, 15, 16, 22, 22, 21, 18, 12, 15, 13, 20, 20, 20, 17,
   9, 14, 22, 23, 24, 20, 15, 20, 10, 19, 21, 22, 18, 13, 21, 11, 14, 19, 19,
  16, 10, 16, 10,  9, 17, 16, 12,  7, 12, 10,  7, 15, 15, 11,  7,  9, 11,  8,
  12, 12, 10,  5,  7, 11,  9, 10, 11,  9,  4,  6,  5, 11, 14, 12, 11, 13, 17,
   5,  7, 12, 11, 10, 11, 14,  6,  3,  9,  8,  7,  8, 10,  5,  3,  6,  5,  4,
   5,  7,  5,  3,  4,  3,  2,  4,  6,  6,  5,  7,  6,  4,  3,  7,  8,  7,  8,
   8,  5,  3,  4,  2,  2,  4,  7,  9, 12, 13,  2,  2,  3,  6,  8,  9, 10,  2,
   2,  3,  4,  5,  6,  8,  2,  1,  3,  0,  3,  5,  6,  2,  1,  5,  6,  4,  3,
   5,  3,  5, 11, 11,  7,  3,  4,  5,  9, 12, 13,  8,  4,  3, 32, 37, 41, 44,
  43, 41, 38, 30, 35, 39, 44, 44, 41, 36, 30, 34, 39, 41, 42, 38, 34, 28, 32,
  35, 38, 41, 37, 32, 26, 29, 31, 35, 38, 36, 32, 24, 27, 30, 34, 38, 36, 33,
  22, 25, 29, 34, 36, 36, 32, 30, 35, 38, 41, 41, 37, 33, 30, 32, 36, 40, 38,
  36, 31, 27, 31, 35, 38, 37, 34, 30, 25, 29, 32, 35, 35, 32, 27, 23, 26, 30,
  32, 32, 31, 28, 21, 25, 28, 30, 31, 30, 27, 18, 23, 27, 30, 29, 29, 28, 27,
  31, 33, 34, 35, 33, 26, 25, 29, 31, 33, 33, 30, 24, 23, 28, 31, 30, 31, 29,
  23, 19, 26, 27, 26, 28, 26, 21, 15, 24, 25, 25, 25, 24, 21, 13, 23, 24, 23,
  23, 23, 21, 12, 21, 22, 22, 23, 23, 19, 22, 25, 26, 27, 27, 25, 18, 19, 24,
  24, 25, 25, 22, 17, 15, 22, 23, 23, 22, 19, 16, 12, 19, 19, 19, 20, 16, 16,
  11, 16, 18, 17, 17, 14, 12, 12, 13, 16, 16, 16, 13,  9, 12, 11, 15, 14, 15,
  13,  6, 10, 17, 18, 18, 17, 13, 18,  7, 16, 16, 17, 16, 10, 17,  7, 12, 15,
  14, 13,  8, 12,  7,  7, 11, 10, 10,  5,  8,  7,  4,  9,  9,  8,  4,  5,  7,
   6,  6,  7,  6,  3,  5,  9,  8,  7,  5,  5,  2,  4,  3,  8,  9,  9,  9, 11,
  15,  3,  6,  7,  8,  8,  9, 11,  3,  2,  5,  4,  6,  6,  7,  3,  1,  1,  1,
   3,  3,  4,  2,  2,  3,  3,  2,  2,  4,  4,  5,  9,  8,  4,  2,  5,  6,  9,
  11,  9,  6,  2,  3,  2,  4,  4,  6,  8, 10, 11,  2,  4,  4,  5,  7,  8,  8,
   2,  4,  5,  3,  4,  4,  5,  2,  3,  7,  3,  0,  3,  4,  1,  4,  7,  7,  5,
   2,  3,  3,  8, 11, 12,  7,  3,  2,  8, 12, 13, 12,  8,  4,  2, 27, 32, 36,
  39, 40, 36, 33, 27, 30, 35, 39, 38, 35, 32, 25, 29, 33, 37, 38, 34, 30, 25,
  26, 30, 34, 36, 32, 27, 21, 24, 27, 30, 34, 31, 27, 19, 22, 25, 28, 32, 31,
  28, 18, 20, 24, 27, 30, 31, 27, 26, 29, 34, 37, 35, 33, 28, 24, 27, 31, 35,
  36, 31, 28, 23, 26, 30, 33, 32, 29, 24, 21, 24, 28, 30, 29, 28, 23, 19, 21,
  24, 26, 26, 26, 22, 17, 20, 22, 25, 26, 25, 22, 14, 18, 22, 25, 24, 24, 22,
  23, 26, 28, 29, 31, 28, 24, 22, 25, 27, 28, 28, 27, 21, 20, 25, 25, 26, 26,
  25, 19, 17, 22, 22, 22, 22, 22, 17, 13, 19, 20, 19, 20, 19, 16, 10, 18, 19,
  19, 18, 18, 17, 10, 15, 17, 17, 18, 17, 15, 20, 21, 21, 22, 23, 22, 15, 17,
  20, 19, 21, 21, 20, 14, 13, 19, 19, 18, 18, 17, 13,  9, 16, 15, 15, 14, 13,
  12,  8, 13, 13, 12, 12, 11,  8,  9, 11, 11, 11, 11, 10,  6, 10,  8,  9,  9,
  10,  9,  4,  8, 13, 13, 14, 15, 12, 15,  5, 12, 12, 13, 13,  9, 13,  5, 10,
  10,  9, 10,  7,  9,  5,  5,  6,  6,  6,  3,  5,  4,  2,  4,  3,  3,  3,  3,
   5,  5,  5,  4,  2,  2,  4,  6,  7,  7,  5,  3,  1,  3,  2,  4,  6,  7,  8,
  10, 12,  2,  3,  5,  6,  7,  8,  9,  2,  3,  4,  4,  4,  5,  6,  2,  2,  2,
   2,  1,  2,  3,  2,  3,  6,  4,  3,  1,  3,  3,  7, 10,  8,  5,  2,  3,  6,
   9, 10,  9,  6,  3,  2,  4,  6,  5,  5,  7,  9, 10,  4,  6,  6,  5,  6,  7,
   7,  3,  5,  7,  3,  3,  4,  5,  4,  5, 10,  5,  3,  0,  3,  4,  6,  8,  8,
   5,  3,  1,  6,  9, 12, 11,  7,  4,  1,  9, 11, 12, 12,  8,  5,  2, 24, 27,
  32, 36, 36, 33, 29, 23, 26, 30, 34, 35, 32, 28, 21, 25, 29, 32, 33, 30, 26,
  20, 22, 26, 29, 32, 28, 23, 17, 19, 22, 26, 28, 26, 23, 15, 17, 20, 23, 27,
  26, 22, 14, 16, 19, 22, 26, 26, 22, 21, 25, 28, 33, 31, 29, 25, 20, 24, 28,
  31, 31, 27, 23, 19, 22, 26, 28, 28, 25, 22, 18, 20, 23, 25, 25, 24, 19, 15,
  17, 19, 21, 22, 22, 18, 13, 15, 18, 20, 20, 21, 18, 11, 14, 17, 20, 19, 19,
  18, 19, 22, 24, 25, 27, 25, 20, 18, 21, 23, 24, 24, 23, 18, 17, 20, 21, 22,
  22, 21, 17, 15, 17, 18, 18, 18, 18, 13, 10, 14, 15, 15, 15, 15, 13,  6, 13,
  14, 14, 14, 14, 13,  7, 12, 13, 12, 12, 12, 12, 17, 17, 17, 18, 19, 19, 13,
  15, 15, 16, 16, 17, 17, 11, 11, 14, 15, 14, 14, 13, 10,  7, 12, 11, 10, 10,
  10,  9,  5,  9,  8,  8,  7,  7,  6,  6,  7,  6,  6,  6,  6,  3,  7,  4,  5,
   5,  5,  5,  3,  7,  9,  9, 10, 11, 11, 13,  2,  7,  8,  9,  9,  8, 11,  2,
   6,  6,  5,  6,  6,  6,  2,  3,  3,  2,  2,  2,  3,  1,  2,  2,  2,  2,  0,
   2,  2,  5,  4,  3,  2,  1,  2,  3,  6,  6,  4,  3,  2,  1,  3,  4,  5,  7,
   8,  9, 11,  3,  4,  5,  6,  6,  7,  8,  3,  6,  4,  4,  4,  4,  5,  3,  5,
   4,  3,  2,  1,  2,  3,  6,  6,  5,  3,  2,  1,  5,  7,  9,  7,  4,  2,  0,
   6,  7,  9,  8,  5,  3,  1,  6,  7,  6,  5,  7,  8,  9,  6,  8,  7,  5,  6,
   6,  6,  6,  8,  9,  4,  3,  3,  3,  6,  8,  9,  6,  4,  2,  0,  6,  8, 10,
   8,  4,  3,  2,  7,  9, 11, 10,  6,  3,  2,  7,  9, 11, 10,  7,  4,  2, 33,
  38, 42, 45, 45, 42, 39, 33, 37, 41, 45, 45, 43, 37, 30, 35, 39, 42, 43, 41,
  38, 30, 33, 36, 40, 43, 39, 36, 27, 30, 34, 38, 41, 40, 36, 26, 30, 33, 36,
  40, 39, 35, 23, 27, 32, 36, 39, 38, 36, 31, 36, 39, 42, 41, 38, 35, 29, 33,
  38, 41, 41, 37, 33, 28, 32, 36, 40, 39, 37, 32, 27, 30, 34, 36, 36, 36, 31,
  25, 28, 32, 34, 35, 34, 30, 22, 27, 29, 33, 34, 33, 31, 20, 24, 28, 33, 32,
  33, 31, 28, 32, 35, 34, 36, 34, 28, 27, 30, 32, 35, 35, 32, 28, 24, 29, 32,
  33, 31, 32, 27, 21, 28, 28, 30, 29, 29, 25, 17, 25, 27, 28, 28, 28, 25, 14,
  24, 26, 26, 26, 27, 26, 14, 21, 24, 25, 24, 25, 24, 24, 26, 27, 28, 29, 26,
  17, 20, 25, 26, 28, 28, 25, 17, 17, 23, 25, 24, 24, 23, 18, 13, 20, 21, 21,
  21, 19, 18, 13, 18, 20, 19, 19, 18, 14, 14, 15, 17, 18, 18, 18, 10, 14, 12,
  15, 16, 17, 16,  9, 12, 18, 19, 20, 19, 14, 17,  9, 16, 17, 18, 17, 12, 17,
   8, 13, 15, 15, 15, 10, 14,  9,  8, 12, 12, 12,  8, 10,  8,  5, 10, 10,  9,
   7,  8,  9,  7,  7,  8,  8,  5, 10, 10,  8,  7,  6,  6,  3,  8,  4,  8,  9,
   9,  9, 12, 14,  4,  6,  7,  8,  9, 10, 13,  4,  2,  5,  5,  6,  8, 10,  4,
   2,  1,  1,  4,  6,  8,  4,  2,  2,  2,  2,  3,  8,  5,  4,  6,  4,  3,  2,
   6,  7,  7,  6,  5,  3,  2,  5,  2,  4,  4,  5,  8, 10, 12,  2,  4,  5,  4,
   7,  8, 10,  2,  4,  5,  3,  4,  6,  7,  2,  4,  5,  2,  1,  4,  7,  0,  4,
   5,  3,  3,  2,  5,  3,  4,  6,  6,  4,  3,  4,  5,  6,  6,  6,  4,  3,  2,
  41, 45, 50, 51, 52, 50, 46, 40, 43, 48, 51, 53, 48, 44, 37, 41, 46, 50, 51,
  48, 43, 36, 39, 43, 46, 50, 46, 41, 33, 36, 41, 44, 47, 45, 41, 32, 35, 39,
  42, 46, 45, 42, 28, 34, 37, 41, 45, 45, 41, 37, 41, 47, 49, 48, 44, 41, 35,
  41, 44, 49, 48, 44, 40, 33, 39, 43, 47, 44, 42, 38, 33, 37, 40, 44, 42, 41,
  36, 29, 34, 37, 40, 41, 39, 36, 25, 33, 36, 39, 40, 38, 36, 22, 30, 35, 38,
  39, 38, 36, 34, 39, 42, 42, 42, 39, 34, 32, 37, 40, 41, 42, 38, 32, 29, 36,
  37, 38, 39, 37, 31, 25, 33, 35, 35, 35, 34, 29, 20, 31, 33, 33, 34, 32, 30,
  16, 29, 31, 31, 32, 31, 29, 16, 26, 30, 30, 31, 30, 27, 28, 33, 34, 34, 34,
  32, 23, 24, 31, 32, 34, 33, 29, 23, 20, 29, 31, 30, 30, 27, 23, 17, 24, 27,
  27, 27, 24, 23, 15, 20, 25, 26, 25, 21, 19, 16, 18, 23, 23, 24, 20, 15, 16,
  14, 21, 22, 22, 20, 11, 16, 24, 25, 26, 23, 18, 24, 12, 21, 23, 24, 22, 16,
  23, 12, 17, 21, 21, 19, 13, 19, 12, 11, 18, 17, 15, 10, 14, 11,  8, 16, 15,
  13,  9, 11, 12,  9, 13, 13, 12,  8, 10, 12, 10, 11, 12, 11,  8,  9,  7, 13,
  15, 14, 14, 16, 20,  7,  9, 14, 13, 12, 14, 16,  7,  4, 11, 11,  9, 11, 13,
   7,  4,  7,  7,  6,  8, 10,  6,  4,  4,  4,  3,  8,  9,  7,  5,  4,  3,  2,
   5,  9,  8,  7,  5,  4,  2,  4,  8,  4,  3,  5,  9, 12, 14, 16,  4,  3,  4,
   8, 11, 12, 14,  4,  3,  4,  5,  7,  9, 11,  4,  2,  3,  1,  4,  7,  8,  4,
   0,  4,  3,  2,  4,  8,  3,  3,  4,  5,  3,  3,  7,  5,  5,  5,  5,  3,  2,
   5, 47, 50, 55, 58, 58, 55, 52, 45, 50, 53, 58, 57, 54, 50, 43, 48, 52, 54,
  56, 52, 48, 42, 45, 49, 51, 55, 51, 45, 39, 42, 45, 49, 52, 50, 45, 36, 40,
  43, 47, 50, 49, 45, 32, 38, 43, 46, 49, 51, 45, 42, 47, 51, 55, 54, 50, 47,
  42, 45, 51, 55, 54, 49, 44, 40, 44, 48, 53, 51, 47, 43, 36, 43, 47, 49, 48,
  46, 40, 32, 39, 42, 46, 46, 44, 39, 28, 36, 41, 45, 43, 44, 40, 24, 35, 40,
  44, 43, 41, 40, 38, 43, 47, 47, 48, 45, 38, 36, 43, 46, 48, 47, 43, 37, 32,
  40, 44, 44, 44, 43, 35, 28, 38, 40, 40, 40, 38, 34, 22, 34, 37, 38, 37, 36,
  33, 19, 32, 37, 36, 36, 35, 33, 18, 28, 34, 35, 35, 33, 31, 32, 39, 39, 42,
  40, 36, 30, 28, 36, 38, 39, 38, 34, 28, 24, 33, 37, 36, 35, 29, 28, 21, 28,
  33, 33, 33, 27, 27, 18, 23, 31, 30, 29, 23, 23, 19, 19, 28, 28, 28, 23, 20,
  18, 15, 25, 27, 27, 22, 15, 18, 28, 31, 31, 27, 23, 29, 16, 24, 30, 30, 26,
  20, 28, 16, 20, 27, 26, 23, 17, 23, 16, 14, 23, 23, 19, 13, 19, 14, 10, 20,
  20, 16, 11, 15, 14, 10, 16, 18, 15,  9, 12, 13, 11, 13, 17, 14,  9, 11, 11,
  15, 21, 18, 17, 20, 25, 10, 10, 19, 18, 16, 17, 21, 11,  6, 16, 15, 13, 14,
  17, 10,  6, 12, 12,  9, 11, 12,  9,  5,  7,  7,  7,  9, 11,  9,  7,  5,  4,
   4,  7, 11, 10,  8,  5,  3,  3,  8,  9,  6,  5, 10, 13, 15, 18, 20,  6,  5,
   9, 12, 14, 16, 17,  5,  5,  7,  9, 10, 12, 14,  5,  4,  3,  5,  7,  8, 10,
   5,  4,  0,  2,  4,  7,  9,  5,  3,  3,  4,  3,  6,  8,  6,  4,  4,  4,  3,
   4,  7, 44, 47, 51, 55, 56, 53, 48, 43, 46, 50, 54, 55, 52, 45, 40, 44, 49,
  51, 54, 48, 45, 40, 42, 46, 50, 52, 48, 42, 35, 39, 42, 45, 48, 45, 41, 32,
  37, 39, 42, 46, 45, 41, 29, 34, 39, 42, 45, 46, 41, 42, 45, 49, 53, 51, 47,
  44, 40, 44, 48, 51, 50, 46, 42, 36, 41, 45, 47, 47, 45, 40, 33, 39, 43, 46,
  46, 43, 37, 28, 35, 39, 42, 41, 40, 36, 25, 34, 37, 40, 40, 40, 37, 21, 32,
  36, 39, 39, 38, 36, 36, 42, 43, 44, 46, 42, 37, 33, 39, 42, 44, 43, 41, 33,
  29, 38, 40, 40, 41, 40, 33, 26, 35, 37, 37, 38, 36, 29, 20, 31, 34, 34, 34,
  32, 31, 16, 28, 31, 33, 33, 30, 30, 15, 24, 31, 31, 31, 30, 27, 30, 35, 36,
  37, 37, 35, 29, 25, 33, 34, 36, 36, 31, 26, 22, 30, 34, 34, 32, 28, 26, 17,
  25, 30, 29, 29, 24, 25, 16, 19, 26, 26, 24, 21, 21, 15, 16, 25, 25, 25, 20,
  17, 15, 12, 22, 23, 23, 20, 13, 16, 26, 28, 29, 25, 22, 28, 13, 22, 26, 28,
  25, 19, 27, 13, 17, 25, 24, 22, 15, 21, 13, 12, 21, 21, 18, 11, 17, 12,  7,
  17, 17, 14,  8, 13, 11,  8, 14, 15, 13,  7, 10, 11,  9, 10, 13, 12,  7,  9,
   9, 14, 18, 18, 17, 19, 24,  9,  9, 17, 17, 16, 16, 19,  9,  6, 15, 14, 12,
  13, 15,  8,  5, 10, 10,  9, 10, 10,  7,  4,  5,  6,  5,  7,  8,  6,  5,  3,
   3,  4,  6,  8,  7,  6,  3,  2,  3,  6,  7,  5,  5, 10, 13, 15, 18, 20,  5,
   5,  9, 12, 14, 15, 16,  5,  5,  8, 10, 11, 11, 13,  5,  4,  3,  6,  7,  8,
   8,  3,  3,  2,  0,  3,  5,  7,  3,  2,  4,  5,  2,  5,  6,  4,  4,  6,  6,
   2,  4,  6, 37, 42, 45, 48, 48, 46, 42, 36, 40, 43, 47, 48, 44, 40, 34, 37,
  42, 46, 46, 42, 38, 32, 36, 41, 43, 44, 41, 34, 29, 33, 36, 39, 40, 37, 35,
  27, 29, 33, 35, 39, 37, 33, 24, 27, 30, 35, 37, 39, 34, 34, 38, 41, 46, 45,
  42, 37, 34, 37, 40, 45, 44, 40, 35, 31, 35, 39, 42, 41, 38, 34, 29, 33, 36,
  39, 38, 36, 29, 25, 30, 32, 35, 35, 33, 29, 20, 27, 29, 32, 32, 32, 29, 15,
  26, 29, 32, 31, 31, 29, 31, 34, 37, 39, 40, 37, 30, 28, 34, 36, 37, 37, 35,
  29, 25, 32, 35, 35, 34, 34, 27, 21, 30, 31, 31, 31, 29, 25, 16, 25, 28, 28,
  27, 25, 24, 12, 23, 25, 25, 25, 24, 24, 11, 19, 25, 23, 24, 24, 21, 25, 29,
  30, 31, 31, 30, 24, 21, 28, 29, 30, 30, 27, 21, 18, 25, 27, 27, 27, 23, 20,
  15, 22, 24, 23, 23, 20, 19, 12, 15, 21, 21, 19, 15, 16, 11, 12, 19, 18, 18,
  15, 12, 11,  8, 17, 16, 16, 15,  9, 13, 21, 23, 23, 22, 19, 24,  9, 18, 21,
  22, 21, 15, 22, 10, 14, 19, 18, 17, 12, 17, 10,  8, 16, 15, 14,  8, 11,  8,
   4, 12, 11, 10,  5,  8,  7,  4,  9,  8,  8,  4,  6,  6,  5,  6,  7,  7,  4,
   5,  5, 11, 13, 14, 14, 16, 20,  5,  8, 12, 13, 13, 14, 16,  5,  4, 11, 10,
  10, 11, 11,  5,  3,  7,  6,  7,  7,  6,  3,  2,  2,  1,  3,  4,  5,  3,  2,
   3,  3,  2,  3,  5,  4,  3,  4,  4,  1,  3,  4,  5,  5,  9, 11, 13, 15, 16,
   5,  5,  8, 10, 12, 12, 13,  5,  5,  7,  8,  8,  9, 10,  5,  4,  3,  4,  5,
   6,  4,  3,  2,  4,  3,  0,  3,  4,  2,  3,  5,  5,  2,  2,  3,  2,  5,  6,
   6,  3,  1,  3, 32, 35, 39, 42, 42, 40, 37, 30, 34, 38, 42, 43, 39, 35, 29,
  31, 37, 40, 41, 37, 33, 28, 29, 33, 38, 39, 35, 28, 25, 27, 30, 33, 36, 33,
  29, 22, 23, 26, 30, 34, 32, 29, 20, 22, 25, 29, 32, 32, 28, 29, 33, 36, 40,
  39, 36, 32, 28, 31, 35, 38, 39, 34, 30, 26, 30, 34, 36, 35, 32, 28, 26, 26,
  30, 33, 33, 30, 24, 21, 23, 27, 30, 29, 28, 23, 17, 22, 24, 27, 27, 26, 24,
  14, 20, 23, 26, 26, 26, 24, 27, 30, 31, 32, 35, 31, 27, 25, 29, 31, 32, 31,
  29, 24, 22, 27, 29, 28, 29, 28, 22, 19, 26, 26, 25, 25, 25, 19, 13, 22, 22,
  22, 22, 20, 18,  9, 20, 20, 20, 19, 20, 19,  8, 17, 19, 18, 18, 19, 17, 22,
  25, 25, 25, 27, 26, 19, 18, 23, 24, 24, 25, 23, 17, 14, 22, 22, 22, 21, 19,
  16, 11, 18, 18, 18, 18, 16, 14,  9, 13, 15, 14, 14, 12, 11,  9, 10, 13, 13,
  12, 12,  8,  8,  6, 12, 11, 11, 11,  5, 10, 17, 17, 18, 18, 15, 19,  7, 15,
  15, 16, 16, 12, 17,  7, 12, 13, 13, 13,  9, 12,  7,  6, 10,  9,  9,  5,  8,
   5,  2,  6,  5,  5,  3,  5,  4,  2,  4,  3,  3,  3,  4,  4,  3,  2,  2,  2,
   2,  3,  3,  9,  9, 10, 11, 13, 16,  3,  7,  8,  9, 10, 11, 12,  3,  4,  7,
   7,  7,  8,  8,  3,  3,  4,  4,  4,  4,  3,  2,  1,  4,  3,  1,  2,  3,  1,
   3,  5,  4,  2,  2,  3,  2,  4,  5,  5,  3,  0,  2,  4,  5,  6,  8, 10, 12,
  13,  4,  5,  6,  8,  9, 10, 10,  4,  5,  6,  5,  6,  6,  7,  4,  4,  5,  3,
   2,  3,  3,  2,  4,  7,  5,  3,  0,  3,  3,  5,  7,  6,  3,  2,  2,  4,  6,
   7,  7,  4,  2,  2, 26, 30, 34, 38, 38, 34, 31, 24, 29, 32, 36, 37, 33, 29,
  23, 26, 31, 35, 35, 32, 28, 22, 25, 28, 31, 33, 29, 24, 19, 21, 24, 28, 30,
  28, 24, 17, 19, 22, 25, 29, 28, 25, 16, 17, 20, 24, 27, 28, 24, 23, 27, 31,
  35, 33, 31, 27, 22, 25, 30, 33, 33, 30, 26, 21, 24, 28, 30, 31, 28, 24, 20,
  21, 25, 27, 28, 26, 20, 17, 19, 21, 24, 24, 23, 20, 15, 17, 20, 22, 22, 22,
  20, 12, 16, 19, 21, 21, 21, 20, 22, 24, 27, 27, 29, 26, 22, 20, 23, 25, 26,
  26, 25, 20, 18, 22, 23, 23, 24, 23, 18, 16, 20, 20, 20, 20, 20, 15, 11, 16,
  17, 17, 17, 16, 15,  7, 16, 15, 15, 15, 15, 14,  7, 14, 14, 14, 14, 14, 14,
  18, 18, 19, 20, 22, 21, 14, 15, 18, 18, 19, 19, 19, 13, 12, 17, 17, 16, 16,
  15, 11,  8, 15, 13, 12, 13, 12, 10,  6, 10, 10,  9,  9,  9,  7,  6,  8,  8,
   8,  7,  8,  4,  7,  4,  7,  6,  6,  6,  3,  7, 11, 11, 12, 13, 12, 14,  4,
   9, 10, 10, 11, 10, 12,  4,  8,  8,  7,  7,  7,  8,  4,  5,  4,  4,  4,  4,
   4,  2,  1,  1,  1,  1,  2,  3,  2,  3,  4,  3,  2,  0,  3,  3,  4,  5,  3,
   3,  2,  2,  3,  5,  6,  8,  9, 11, 12,  3,  4,  6,  7,  7,  8,  9,  3,  4,
   4,  5,  5,  5,  6,  3,  3,  4,  3,  2,  2,  2,  1,  5,  6,  4,  3,  2,  2,
   3,  7,  8,  6,  4,  2,  2,  5,  7,  9,  8,  4,  3,  0,  5,  7,  6,  6,  8,
   9, 10,  5,  7,  7,  6,  7,  7,  7,  5,  7,  8,  4,  3,  4,  5,  5,  6,  8,
   5,  3,  1,  2,  5,  8, 10,  8,  4,  3,  0,  7,  9, 10,  9,  5,  3,  1,  8,
   9, 10, 10,  6,  4,  2, 36, 41, 47, 48, 47, 47, 42, 36, 39, 44, 48, 49, 45,
  41, 34, 38, 42, 45, 47, 44, 39, 32, 35, 39, 42, 45, 41, 36, 29, 33, 35, 39,
  41, 39, 37, 26, 29, 32, 37, 41, 39, 36, 23, 27, 32, 34, 38, 39, 35, 33, 38,
  42, 45, 44, 42, 39, 31, 37, 41, 45, 44, 40, 38, 31, 35, 40, 42, 42, 40, 35,
  29, 33, 36, 39, 38, 38, 31, 25, 28, 32, 36, 35, 35, 32, 22, 27, 30, 32, 34,
  34, 31, 18, 24, 28, 32, 33, 32, 31, 31, 36, 37, 38, 39, 37, 32, 29, 33, 35,
  37, 38, 36, 31, 26, 32, 36, 35, 35, 35, 30, 22, 29, 31, 31, 31, 31, 26, 17,
  26, 27, 28, 27, 27, 26, 13, 24, 26, 26, 26, 27, 26, 12, 21, 23, 25, 24, 25,
  24, 27, 29, 30, 31, 32, 31, 23, 21, 27, 29, 30, 29, 28, 22, 19, 25, 27, 26,
  27, 25, 22, 14, 21, 24, 23, 23, 22, 20, 13, 17, 20, 19, 20, 18, 16, 12, 13,
  17, 18, 18, 17, 12, 12, 10, 15, 16, 17, 17, 10, 13, 20, 22, 22, 22, 19, 23,
  10, 18, 20, 20, 21, 16, 21, 10, 15, 18, 18, 18, 13, 17, 10,  9, 14, 14, 14,
  10, 12,  8,  4, 10, 10, 10,  8,  9,  7,  5,  7,  7,  8,  6,  9,  8,  7,  5,
   5,  6,  6,  8,  5, 11, 12, 13, 15, 17, 20,  5,  8, 10, 11, 13, 14, 16,  5,
   5,  8,  8, 10, 12, 13,  5,  4,  4,  4,  6,  8,  8,  4,  3,  2,  1,  2,  6,
   8,  4,  2,  4,  3,  1,  5,  8,  5,  5,  4,  3,  2,  4,  6,  4,  6,  6,  9,
  13, 16, 17,  4,  6,  7,  7, 11, 13, 14,  5,  6,  7,  4,  8,  9, 11,  4,  5,
   6,  3,  3,  5,  7,  3,  3,  5,  3,  2,  3,  7,  0,  4,  5,  5,  2,  1,  5,
   3,  5,  5,  5,  3,  1,  4, 42, 48, 52, 54, 55, 52, 49, 41, 46, 50, 54, 53,
  50, 46, 40, 44, 48, 52, 53, 50, 45, 38, 41, 46, 50, 52, 47, 41, 35, 39, 41,
  46, 47, 46, 42, 31, 35, 37, 42, 46, 44, 41, 28, 33, 38, 41, 44, 44, 41, 39,
  45, 48, 53, 51, 47, 44, 39, 43, 47, 50, 50, 47, 42, 36, 43, 46, 49, 48, 44,
  40, 34, 39, 44, 45, 46, 42, 36, 29, 35, 38, 41, 41, 40, 37, 24, 33, 36, 39,
  39, 39, 36, 20, 31, 34, 38, 38, 37, 37, 36, 40, 43, 43, 46, 43, 37, 34, 39,
  42, 43, 43, 41, 36, 30, 39, 40, 41, 41, 39, 33, 25, 35, 37, 37, 37, 35, 30,
  20, 31, 33, 33, 33, 32, 31, 15, 28, 31, 31, 31, 31, 30, 15, 25, 29, 30, 30,
  30, 27, 30, 35, 37, 37, 38, 36, 28, 25, 33, 34, 36, 35, 32, 27, 21, 30, 34,
  32, 32, 29, 26, 18, 26, 30, 29, 30, 26, 25, 16, 19, 26, 25, 25, 21, 21, 15,
  16, 23, 24, 24, 21, 17, 15, 12, 21, 22, 22, 20, 13, 17, 25, 27, 29, 27, 23,
  29, 14, 22, 26, 27, 25, 20, 27, 13, 18, 23, 23, 22, 17, 21, 13, 12, 20, 20,
  18, 12, 16, 12,  7, 16, 16, 14,  9, 13, 11,  7, 13, 13, 13,  8, 10, 10,  8,
  10, 12, 11,  8,  9,  9, 15, 18, 19, 18, 21, 24,  9, 10, 17, 17, 17, 18, 20,
   9,  6, 14, 14, 14, 15, 16,  9,  5, 10, 10, 10, 11, 11,  7,  4,  5,  5,  5,
   8, 10,  6,  4,  2,  2,  4,  6, 10,  7,  5,  3,  2,  3,  7,  8,  6,  6,  9,
  14, 16, 19, 21,  6,  6,  8, 13, 15, 16, 18,  6,  6,  6, 10, 12, 13, 14,  6,
   5,  5,  5,  8,  9,  9,  4,  3,  3,  2,  3,  5,  9,  4,  0,  3,  4,  1,  6,
   7,  3,  3,  4,  4,  2,  4,  6, 49, 54, 58, 61, 61, 58, 53, 48, 51, 57, 60,
  60, 57, 53, 46, 50, 54, 57, 59, 54, 51, 44, 47, 51, 55, 56, 51, 46, 40, 44,
  47, 51, 53, 49, 46, 36, 41, 44, 46, 50, 50, 46, 32, 38, 42, 46, 49, 48, 47,
  45, 49, 54, 58, 56, 54, 48, 44, 48, 52, 58, 56, 52, 47, 41, 47, 51, 55, 54,
  50, 44, 38, 44, 48, 52, 50, 48, 41, 33, 42, 44, 48, 46, 46, 41, 27, 37, 41,
  44, 45, 43, 40, 23, 34, 39, 43, 42, 42, 41, 41, 46, 50, 50, 51, 49, 41, 38,
  45, 48, 50, 49, 46, 40, 33, 44, 46, 47, 46, 44, 37, 30, 40, 43, 43, 43, 41,
  34, 24, 34, 39, 39, 39, 35, 34, 19, 30, 36, 36, 36, 35, 35, 17, 26, 34, 35,
  34, 34, 32, 34, 42, 41, 43, 42, 41, 34, 29, 38, 41, 41, 40, 36, 33, 25, 34,
  39, 39, 36, 33, 31, 21, 29, 36, 35, 33, 28, 29, 19, 23, 31, 32, 29, 24, 26,
  18, 18, 28, 29, 27, 23, 22, 17, 14, 25, 26, 26, 23, 17, 20, 29, 33, 34, 30,
  28, 33, 17, 25, 32, 32, 29, 24, 31, 17, 21, 29, 30, 26, 20, 26, 17, 15, 25,
  26, 22, 15, 21, 15, 10, 20, 22, 17, 11, 17, 13,  9, 16, 19, 15, 10, 14, 13,
   9, 11, 17, 15,  9, 11, 12, 17, 24, 23, 22, 24, 30, 12, 12, 22, 22, 20, 21,
  25, 12,  9, 19, 19, 17, 18, 20, 12,  8, 14, 16, 13, 13, 14, 10,  6,  7, 11,
   7, 10, 12,  9,  5,  4,  6,  5,  8, 10,  8,  6,  4,  5,  5,  7, 10,  8,  7,
  16, 18, 20, 23, 24,  8,  8, 13, 17, 19, 20, 20,  8,  7, 11, 14, 16, 16, 17,
   8,  6,  5, 11, 11, 12, 10,  6,  4,  3,  4,  5,  7, 10,  5,  3,  0,  1,  3,
   6,  9,  5,  3,  2,  2,  3,  5,  8, 48, 52, 55, 59, 59, 57, 52, 47, 50, 55,
  59, 59, 56, 50, 44, 48, 52, 56, 58, 53, 49, 43, 46, 50, 53, 54, 51, 44, 38,
  44, 46, 49, 52, 49, 44, 34, 40, 43, 45, 50, 48, 43, 30, 37, 41, 44, 48, 47,
  43, 45, 51, 53, 56, 56, 51, 47, 44, 47, 53, 55, 56, 50, 45, 40, 47, 51, 54,
  52, 48, 44, 36, 43, 48, 50, 49, 44, 40, 32, 39, 45, 47, 44, 43, 39, 26, 36,
  40, 43, 42, 42, 39, 21, 33, 38, 42, 42, 41, 40, 40, 45, 47, 48, 50, 48, 40,
  37, 44, 48, 46, 49, 46, 38, 32, 42, 46, 45, 46, 43, 37, 28, 40, 42, 43, 41,
  40, 33, 23, 35, 37, 38, 36, 34, 33, 17, 29, 35, 35, 35, 34, 34, 16, 24, 33,
  33, 33, 32, 31, 32, 39, 40, 43, 42, 40, 34, 28, 38, 40, 41, 40, 36, 32, 24,
  33, 38, 38, 37, 33, 30, 20, 28, 34, 34, 33, 28, 28, 19, 21, 31, 30, 28, 24,
  25, 17, 17, 27, 27, 26, 22, 21, 16, 13, 23, 26, 26, 21, 17, 19, 29, 33, 34,
  30, 27, 33, 16, 24, 32, 32, 29, 24, 31, 16, 21, 29, 29, 26, 20, 26, 16, 15,
  24, 25, 22, 14, 20, 14, 10, 19, 21, 17, 10, 17, 12,  8, 14, 17, 15,  9, 13,
  12,  8, 10, 16, 14,  9, 11, 11, 17, 23, 23, 22, 24, 29, 12, 12, 21, 22, 21,
  21, 24, 12,  9, 19, 19, 17, 18, 20, 11,  7, 14, 15, 13, 12, 13, 10,  5,  7,
  10,  7,  9, 11,  8,  5,  4,  6,  5,  7, 10,  7,  5,  4,  4,  4,  7,  9,  8,
   8, 16, 18, 21, 23, 24,  8,  8, 14, 18, 20, 20, 20,  8,  8, 11, 16, 15, 15,
  16,  8,  7,  6, 11, 11, 11, 10,  6,  5,  4,  5,  5,  6,  9,  4,  4,  1,  0,
   3,  6,  8,  4,  3,  2,  2,  2,  5,  7, 41, 45, 48, 52, 51, 50, 45, 39, 42,
  46, 52, 51, 47, 43, 37, 41, 45, 49, 49, 46, 41, 36, 39, 41, 46, 47, 44, 36,
  33, 36, 38, 42, 43, 40, 37, 29, 32, 35, 39, 42, 41, 37, 25, 30, 34, 37, 40,
  41, 37, 37, 42, 45, 49, 48, 44, 40, 36, 41, 44, 47, 47, 42, 37, 33, 38, 43,
  45, 44, 42, 36, 31, 37, 39, 41, 41, 38, 32, 26, 33, 35, 38, 38, 35, 32, 21,
  30, 33, 35, 34, 34, 31, 16, 28, 31, 34, 34, 33, 32, 34, 39, 40, 43, 42, 40,
  33, 31, 37, 40, 41, 40, 37, 33, 26, 35, 38, 39, 37, 36, 30, 24, 32, 33, 34,
  34, 32, 26, 17, 27, 31, 30, 30, 27, 26, 13, 24, 29, 28, 27, 26, 27, 12, 20,
  27, 27, 27, 26, 24, 27, 33, 32, 34, 34, 33, 27, 22, 30, 33, 32, 32, 29, 24,
  20, 27, 31, 31, 30, 26, 23, 17, 23, 27, 27, 26, 21, 22, 13, 17, 24, 23, 21,
  18, 18, 12, 12, 21, 20, 19, 17, 15, 12,  9, 19, 19, 19, 17, 11, 15, 23, 26,
  26, 24, 21, 26, 11, 20, 24, 25, 23, 18, 24, 11, 15, 22, 22, 20, 15, 19, 11,
  10, 19, 18, 16, 10, 13,  9,  5, 14, 14, 12,  6, 10,  8,  4, 10, 11, 10,  5,
   8,  8,  5,  7,  9,  8,  5,  6,  7, 13, 16, 17, 16, 19, 23,  7,  9, 15, 15,
  15, 16, 18,  7,  5, 13, 12, 13, 13, 13,  7,  4, 10,  9,  9,  9,  8,  5,  2,
   4,  4,  4,  5,  6,  3,  2,  2,  1,  2,  4,  6,  4,  3,  2,  2,  2,  4,  5,
   6,  6, 11, 13, 15, 17, 18,  6,  6, 11, 13, 14, 15, 15,  6,  6,  8, 10, 11,
  11, 11,  5,  5,  4,  6,  7,  7,  6,  3,  3,  3,  2,  2,  3,  5,  2,  1,  3,
   3,  0,  3,  4,  2,  3,  4,  4,  2,  3,  4, 33, 38, 42, 46, 45, 43, 37, 32,
  36, 40, 45, 44, 41, 37, 31, 34, 39, 42, 43, 39, 34, 30, 32, 36, 39, 40, 37,
  31, 27, 29, 31, 36, 37, 35, 31, 23, 26, 29, 33, 36, 34, 31, 22, 25, 28, 30,
  34, 34, 31, 31, 34, 38, 42, 42, 37, 34, 30, 33, 38, 41, 40, 36, 32, 29, 32,
  36, 38, 38, 36, 28, 27, 29, 32, 36, 35, 32, 27, 22, 26, 30, 32, 31, 30, 26,
  18, 23, 26, 29, 29, 29, 26, 15, 23, 25, 28, 28, 28, 26, 28, 31, 35, 34, 37,
  34, 28, 26, 31, 31, 34, 34, 32, 26, 23, 30, 31, 31, 31, 30, 23, 19, 28, 28,
  28, 28, 26, 21, 14, 24, 24, 24, 23, 23, 21, 10, 21, 23, 21, 22, 22, 21, 10,
  19, 21, 20, 21, 21, 18, 24, 26, 27, 27, 29, 27, 21, 19, 25, 26, 27, 27, 24,
  18, 16, 23, 24, 24, 24, 21, 18, 12, 19, 21, 20, 21, 18, 17, 10, 14, 17, 17,
  16, 13, 13, 10, 10, 15, 15, 14, 13, 10,  9,  7, 14, 13, 13, 12,  6, 11, 18,
  19, 20, 20, 16, 21,  8, 16, 18, 18, 18, 13, 19,  8, 12, 15, 15, 15, 11, 14,
   8,  7, 12, 12, 11,  6,  9,  6,  2,  8,  8,  7,  4,  6,  5,  3,  6,  5,  5,
   3,  5,  5,  3,  4,  4,  3,  3,  4,  4, 10, 10, 11, 13, 14, 18,  4,  8, 10,
  10, 12, 12, 13,  4,  4,  9,  8,  9,  9,  9,  4,  3,  5,  5,  5,  5,  4,  2,
   2,  2,  2,  2,  3,  4,  2,  1,  5,  4,  2,  2,  4,  3,  3,  5,  4,  2,  2,
   3,  5,  5,  8, 10, 11, 13, 14,  5,  5,  7,  9, 10, 11, 11,  5,  5,  6,  7,
   7,  8,  8,  5,  4,  5,  3,  3,  4,  3,  3,  3,  7,  5,  2,  2,  3,  1,  5,
   6,  6,  3,  0,  3,  4,  6,  6,  6,  4,  2,  2, 27, 31, 35, 38, 39, 36, 33,
  25, 30, 34, 39, 38, 35, 30, 25, 29, 32, 36, 37, 34, 29, 24, 26, 29, 32, 36,
  31, 26, 21, 24, 26, 29, 33, 30, 26, 18, 20, 23, 27, 30, 30, 25, 17, 19, 22,
  25, 29, 29, 26, 25, 28, 33, 35, 35, 33, 29, 24, 28, 32, 35, 35, 32, 27, 23,
  26, 30, 32, 32, 30, 25, 22, 24, 27, 29, 29, 26, 21, 19, 20, 23, 26, 26, 25,
  21, 16, 18, 21, 24, 23, 24, 21, 13, 17, 20, 22, 23, 22, 21, 22, 26, 28, 29,
  31, 28, 23, 22, 24, 26, 28, 28, 27, 22, 20, 23, 25, 25, 25, 25, 19, 17, 22,
  22, 22, 22, 21, 16, 11, 18, 19, 18, 18, 17, 16,  8, 17, 17, 17, 17, 16, 16,
   8, 16, 16, 15, 15, 16, 14, 20, 21, 20, 22, 24, 22, 16, 16, 20, 20, 21, 21,
  20, 14, 13, 18, 18, 18, 17, 17, 13,  9, 16, 15, 14, 14, 14, 12,  7, 12, 11,
  11, 10, 10,  8,  7,  9, 10,  9,  9,  9,  5,  8,  5,  8,  8,  8,  8,  3,  8,
  13, 13, 14, 15, 13, 15,  5, 11, 12, 12, 13, 10, 14,  5, 10, 10,  9,  9,  8,
   9,  5,  5,  6,  6,  5,  4,  5,  3,  1,  2,  2,  2,  2,  3,  3,  2,  3,  2,
   1,  2,  3,  4,  3,  4,  3,  2,  0,  2,  3,  6,  7,  8,  9, 11, 13,  3,  5,
   7,  8,  8,  9, 10,  3,  4,  5,  5,  6,  6,  6,  3,  3,  3,  2,  2,  3,  3,
   1,  4,  5,  4,  3,  0,  2,  1,  5,  7,  5,  3,  1,  2,  3,  6,  7,  6,  4,
   2,  2,  4,  6,  6,  7,  9, 10, 11,  4,  6,  6,  6,  8,  8,  8,  4,  6,  7,
   4,  4,  4,  6,  4,  6,  7,  4,  2,  1,  2,  3,  7,  8,  6,  3,  2,  1,  5,
   7,  9,  8,  4,  3,  0,  6,  7,  9,  9,  5,  3,  2, 38, 44, 48, 51, 51, 48,
  46, 38, 42, 46, 50, 51, 48, 44, 37, 41, 45, 47, 49, 44, 41, 34, 38, 41, 45,
  47, 43, 36, 32, 34, 38, 42, 42, 38, 37, 28, 30, 33, 36, 41, 38, 37, 23, 26,
  32, 35, 39, 40, 36, 37, 39, 45, 49, 49, 44, 41, 36, 39, 43, 47, 48, 44, 39,
  34, 37, 42, 45, 44, 42, 36, 31, 36, 38, 41, 42, 38, 32, 27, 31, 35, 38, 36,
  36, 31, 22, 28, 31, 33, 34, 35, 32, 18, 25, 29, 32, 33, 33, 32, 34, 36, 40,
  41, 43, 41, 37, 31, 34, 39, 40, 40, 39, 34, 28, 35, 37, 37, 37, 37, 32, 23,
  33, 34, 34, 34, 32, 27, 18, 28, 29, 30, 29, 28, 27, 13, 24, 26, 26, 27, 27,
  27, 11, 21, 24, 24, 25, 25, 25, 28, 32, 33, 34, 36, 35, 27, 23, 30, 31, 34,
  33, 31, 25, 20, 28, 29, 30, 30, 28, 24, 16, 23, 26, 26, 26, 24, 23, 14, 17,
  22, 22, 21, 19, 18, 12, 13, 17, 19, 18, 18, 15, 11,  9, 16, 16, 17, 17, 11,
  15, 23, 25, 26, 27, 23, 27, 12, 20, 23, 25, 25, 21, 25, 12, 16, 21, 21, 21,
  17, 20, 12, 11, 17, 17, 17, 12, 14, 10,  5, 13, 12, 11,  8, 11,  7,  4,  8,
   8,  9,  7, 10,  7,  5,  5,  6,  7,  7,  9,  7, 14, 16, 17, 19, 22, 24,  8,
  11, 15, 16, 18, 19, 20,  8,  7, 13, 13, 15, 15, 16,  7,  6,  9,  9, 11, 10,
   9,  5,  4,  4,  4,  4,  7,  9,  5,  3,  3,  2,  3,  5,  8,  4,  2,  3,  3,
   1,  5,  7,  8,  7,  9, 14, 18, 20, 21,  7,  7,  9, 12, 16, 17, 18,  7,  7,
   9,  9, 12, 14, 14,  8,  6,  8,  5,  7,  9,  7,  5,  5,  6,  4,  2,  4,  8,
   3,  3,  5,  4,  2,  4,  6,  0,  4,  5,  5,  3,  3,  5, 45, 50, 54, 59, 58,
  56, 50, 44, 48, 52, 57, 58, 51, 48, 42, 46, 51, 55, 54, 52, 46, 41, 44, 46,
  51, 53, 48, 41, 36, 41, 44, 47, 48, 45, 41, 32, 37, 40, 42, 45, 46, 42, 28,
  33, 37, 42, 45, 46, 42, 42, 47, 50, 54, 54, 50, 46, 39, 44, 50, 53, 53, 49,
  45, 39, 43, 48, 51, 50, 46, 41, 35, 41, 45, 47, 46, 43, 36, 30, 37, 41, 43,
  41, 40, 37, 24, 33, 38, 38, 40, 40, 37, 19, 31, 35, 38, 39, 38, 36, 38, 43,
  46, 46, 48, 45, 41, 34, 41, 46, 46, 47, 44, 38, 31, 41, 42, 44, 43, 40, 36,
  27, 38, 39, 40, 38, 37, 32, 21, 33, 35, 35, 34, 32, 31, 16, 26, 32, 31, 32,
  30, 32, 15, 24, 29, 31, 31, 30, 29, 31, 38, 40, 39, 40, 39, 32, 27, 35, 37,
  39, 38, 35, 30, 24, 31, 37, 36, 35, 32, 29, 19, 27, 31, 32, 32, 27, 27, 17,
  21, 28, 27, 26, 22, 22, 16, 15, 24, 23, 23, 21, 19, 15, 12, 21, 22, 22, 21,
  15, 18, 28, 30, 31, 30, 27, 31, 15, 24, 29, 30, 29, 24, 30, 15, 19, 26, 27,
  25, 19, 24, 15, 14, 22, 23, 21, 14, 19, 13,  8, 18, 18, 15, 10, 15, 11,  6,
  12, 14, 13,  8, 12, 10,  7,  9, 12, 11,  8, 10, 11, 16, 21, 22, 22, 24, 29,
  11, 12, 20, 20, 21, 22, 24, 11,  8, 17, 17, 18, 18, 18, 10,  7, 13, 13, 13,
  12, 12,  8,  5,  7,  8,  6,  9, 10,  6,  5,  2,  3,  4,  7, 10,  5,  4,  2,
   1,  4,  7,  9,  8,  8, 14, 18, 21, 23, 24,  8,  8, 12, 17, 20, 21, 21,  8,
   8, 10, 14, 16, 16, 16,  9,  7,  6,  9, 12, 11,  9,  6,  5,  4,  4,  5,  6,
   9,  4,  3,  3,  3,  3,  5,  8,  4,  0,  3,  3,  2,  5,  7, 49, 54, 57, 61,
  61, 57, 54, 47, 52, 57, 60, 62, 56, 53, 46, 50, 55, 58, 58, 55, 50, 45, 49,
  52, 55, 57, 52, 46, 40, 45, 49, 52, 53, 50, 46, 35, 41, 44, 47, 50, 50, 46,
  31, 38, 43, 45, 50, 51, 45, 47, 49, 55, 59, 57, 54, 50, 44, 50, 55, 58, 57,
  52, 46, 41, 47, 53, 55, 54, 51, 44, 39, 46, 50, 51, 50, 48, 40, 32, 41, 45,
  47, 46, 45, 40, 27, 37, 41, 43, 44, 44, 41, 22, 34, 40, 44, 42, 41, 41, 41,
  49, 50, 52, 52, 49, 43, 37, 46, 50, 50, 50, 47, 41, 33, 42, 47, 47, 47, 44,
  38, 29, 41, 43, 44, 42, 41, 35, 23, 35, 39, 40, 37, 36, 35, 19, 29, 37, 36,
  37, 34, 36, 18, 26, 35, 35, 34, 33, 32, 33, 40, 43, 45, 43, 41, 35, 30, 38,
  41, 42, 42, 38, 34, 25, 35, 40, 40, 39, 33, 32, 22, 30, 36, 35, 35, 30, 30,
  20, 23, 31, 32, 30, 24, 26, 18, 18, 28, 29, 28, 23, 23, 18, 14, 24, 27, 26,
  23, 18, 21, 29, 34, 36, 33, 29, 34, 17, 26, 33, 34, 31, 25, 33, 17, 21, 30,
  30, 28, 21, 27, 17, 16, 25, 27, 23, 15, 21, 15, 10, 20, 23, 18, 11, 17, 13,
   9, 15, 19, 16, 10, 14, 13,  9, 11, 18, 15, 10, 12, 12, 17, 25, 24, 23, 26,
  31, 12, 13, 23, 23, 22, 22, 26, 12,  9, 20, 20, 19, 19, 21, 12,  8, 14, 16,
  14, 14, 14, 11,  6,  8, 11,  7,  9, 12,  9,  5,  4,  6,  5,  8, 11,  7,  5,
   4,  5,  4,  7, 10,  9,  8, 17, 19, 22, 24, 26,  9,  8, 15, 19, 20, 21, 21,
   9,  8, 11, 16, 16, 17, 17,  9,  7,  7, 13, 12, 12, 11,  6,  5,  4,  6,  6,
   7, 10,  5,  4,  2,  2,  3,  7,  9,  4,  3,  0,  0,  3,  5,  8, 49, 53, 57,
  61, 62, 59, 55, 48, 53, 57, 60, 61, 57, 52, 45, 51, 53, 58, 59, 56, 51, 44,
  47, 52, 55, 57, 52, 46, 42, 45, 48, 51, 54, 49, 45, 35, 41, 45, 47, 50, 49,
  45, 31, 38, 41, 46, 49, 50, 46, 46, 52, 55, 59, 57, 54, 50, 46, 50, 54, 57,
  55, 53, 48, 41, 48, 52, 56, 53, 50, 44, 38, 46, 50, 52, 50, 47, 42, 31, 41,
  46, 48, 45, 45, 40, 27, 37, 41, 43, 43, 43, 40, 22, 35, 40, 42, 43, 41, 41,
  41, 48, 50, 51, 51, 49, 42, 36, 46, 48, 50, 49, 46, 41, 33, 43, 47, 48, 46,
  45, 38, 30, 41, 44, 44, 44, 40, 35, 24, 34, 39, 40, 38, 36, 35, 19, 30, 36,
  36, 36, 35, 35, 17, 24, 34, 35, 35, 33, 32, 33, 41, 43, 44, 44, 41, 35, 29,
  38, 42, 43, 40, 38, 33, 26, 34, 40, 40, 39, 33, 31, 22, 30, 36, 36, 34, 29,
  30, 20, 23, 31, 32, 30, 24, 26, 19, 18, 28, 29, 27, 23, 22, 17, 14, 24, 27,
  27, 22, 18, 21, 31, 34, 35, 32, 29, 35, 17, 26, 33, 33, 30, 25, 33, 17, 21,
  30, 30, 28, 21, 27, 17, 16, 25, 27, 24, 15, 22, 15, 11, 20, 22, 17, 11, 17,
  14,  9, 15, 18, 16, 10, 14, 13,  9, 10, 17, 15,  9, 12, 13, 17, 25, 24, 23,
  25, 31, 13, 13, 22, 23, 22, 23, 26, 13,  9, 20, 20, 18, 19, 21, 12,  8, 14,
  16, 14, 13, 14, 10,  6,  8, 12,  7, 10, 12,  9,  5,  4,  7,  5,  8, 10,  7,
   6,  4,  5,  5,  8, 10,  9,  8, 17, 19, 21, 24, 25,  9,  8, 15, 18, 20, 21,
  22,  9,  8, 11, 17, 17, 17, 17,  9,  7,  6, 12, 12, 12, 11,  6,  5,  4,  6,
   6,  7, 10,  5,  4,  2,  2,  4,  6,  9,  5,  3,  0,  0,  3,  5,  8, 43, 47,
  51, 55, 55, 53, 49, 40, 45, 50, 53, 53, 50, 45, 39, 44, 47, 51, 52, 48, 43,
  39, 42, 46, 47, 49, 46, 39, 35, 38, 41, 45, 46, 43, 39, 30, 34, 37, 40, 44,
  43, 38, 27, 32, 36, 39, 42, 43, 40, 40, 43, 48, 51, 51, 47, 43, 39, 42, 47,
  50, 50, 47, 41, 36, 41, 45, 47, 48, 44, 39, 33, 38, 42, 44, 44, 40, 34, 27,
  36, 38, 42, 39, 38, 35, 22, 32, 35, 37, 36, 37, 34, 18, 29, 34, 37, 37, 35,
  34, 36, 40, 43, 44, 45, 42, 37, 32, 38, 42, 44, 42, 41, 33, 28, 38, 40, 40,
  40, 38, 33, 25, 35, 36, 36, 36, 34, 29, 19, 30, 33, 33, 32, 30, 29, 14, 26,
  30, 29, 30, 28, 29, 13, 21, 29, 28, 29, 28, 26, 28, 36, 36, 37, 37, 35, 29,
  24, 32, 35, 36, 35, 31, 27, 20, 30, 33, 33, 32, 28, 25, 17, 24, 29, 28, 28,
  24, 24, 15, 18, 25, 26, 24, 19, 20, 14, 14, 23, 22, 22, 19, 17, 13, 10, 20,
  21, 21, 18, 12, 16, 25, 28, 29, 26, 23, 28, 13, 21, 26, 27, 25, 19, 27, 13,
  17, 24, 24, 22, 16, 21, 13, 12, 20, 19, 18, 11, 16, 11,  7, 16, 16, 13,  7,
  12, 10,  5, 12, 13, 12,  6,  9,  9,  6,  8, 11, 10,  6,  8,  8, 14, 19, 19,
  18, 20, 24,  8, 10, 17, 18, 17, 17, 20,  8,  6, 14, 14, 14, 14, 15,  8,  5,
  11, 11, 10, 10, 10,  6,  3,  5,  6,  4,  6,  8,  4,  3,  2,  2,  3,  5,  7,
   4,  3,  2,  1,  3,  4,  6,  6,  6, 13, 15, 17, 19, 20,  6,  6, 12, 14, 16,
  16, 17,  6,  6,  9, 12, 12, 12, 13,  6,  5,  5,  8,  8,  8,  7,  4,  3,  3,
   2,  3,  4,  6,  3,  2,  3,  2,  2,  4,  5,  3,  2,  3,  3,  0,  4,  5, 36,
  40, 45, 47, 47, 44, 40, 34, 38, 42, 46, 46, 43, 38, 32, 36, 41, 44, 45, 42,
  36, 31, 34, 38, 40, 43, 39, 33, 29, 32, 33, 37, 39, 36, 32, 25, 27, 31, 33,
  37, 36, 33, 23, 26, 29, 33, 36, 37, 33, 33, 36, 41, 45, 43, 40, 35, 31, 35,
  39, 44, 43, 39, 35, 30, 33, 38, 41, 39, 36, 32, 29, 31, 34, 37, 37, 35, 29,
  24, 29, 31, 34, 32, 32, 29, 19, 26, 28, 31, 30, 32, 28, 15, 24, 27, 30, 30,
  29, 28, 31, 34, 36, 37, 37, 36, 30, 28, 32, 34, 36, 36, 35, 28, 25, 31, 34,
  34, 34, 31, 25, 20, 29, 29, 29, 30, 28, 23, 15, 24, 26, 26, 25, 24, 23, 11,
  21, 23, 23, 24, 23, 23, 10, 19, 24, 23, 22, 23, 20, 25, 29, 28, 30, 30, 29,
  23, 20, 27, 28, 29, 29, 26, 21, 17, 24, 27, 26, 26, 22, 19, 14, 20, 23, 22,
  22, 19, 18, 11, 15, 19, 19, 18, 14, 15, 11, 11, 17, 16, 16, 14, 11, 10,  7,
  16, 15, 15, 14,  8, 12, 20, 21, 22, 21, 18, 22,  9, 17, 20, 20, 20, 15, 21,
   9, 14, 18, 17, 17, 12, 15,  9,  8, 15, 14, 13,  7, 10,  7,  3, 10, 10,  9,
   5,  7,  6,  3,  8,  7,  7,  4,  5,  6,  4,  5,  6,  5,  4,  5,  5, 11, 12,
  13, 14, 16, 19,  5,  8, 11, 12, 13, 13, 15,  5,  5, 10,  9, 10, 10, 10,  5,
   3,  7,  6,  6,  6,  5,  3,  2,  1,  1,  2,  4,  4,  2,  2,  4,  3,  0,  3,
   5,  3,  2,  4,  4,  2,  2,  4,  5,  5,  9, 11, 13, 15, 15,  5,  5,  8, 10,
  12, 12, 12,  5,  5,  7,  8,  8,  9,  9,  5,  4,  4,  4,  4,  5,  4,  3,  2,
   4,  4,  1,  2,  4,  1,  4,  5,  5,  3,  2,  3,  2,  5,  5,  5,  3,  0,  3,
  29, 34, 38, 41, 41, 39, 34, 28, 31, 36, 40, 40, 37, 33, 27, 31, 34, 38, 39,
  36, 30, 26, 28, 31, 34, 37, 32, 27, 23, 25, 27, 31, 33, 31, 27, 20, 22, 25,
  28, 33, 31, 27, 19, 21, 23, 27, 30, 30, 28, 27, 30, 34, 38, 38, 34, 31, 26,
  29, 32, 37, 36, 34, 29, 25, 27, 32, 35, 33, 31, 26, 23, 25, 28, 31, 30, 28,
  23, 20, 23, 25, 28, 27, 26, 22, 17, 20, 23, 25, 25, 25, 23, 14, 19, 22, 24,
  24, 24, 24, 25, 28, 29, 31, 32, 30, 26, 23, 27, 28, 29, 30, 27, 23, 22, 25,
  28, 27, 27, 26, 21, 18, 23, 24, 23, 23, 23, 17, 12, 20, 20, 19, 20, 18, 17,
   8, 19, 19, 18, 18, 18, 17,  8, 16, 18, 17, 17, 18, 15, 21, 23, 23, 23, 25,
  24, 17, 18, 21, 22, 22, 22, 22, 15, 14, 20, 20, 19, 20, 18, 14, 10, 17, 17,
  16, 16, 15, 13,  8, 13, 13, 12, 12, 11, 10,  8,  9, 12, 11, 10, 10,  7,  8,
   6, 10,  9,  9,  9,  4,  9, 15, 15, 16, 17, 14, 17,  6, 13, 13, 14, 14, 11,
  15,  6, 11, 11, 11, 11,  8, 10,  6,  6,  8,  8,  7,  5,  6,  4,  2,  4,  4,
   3,  3,  4,  3,  2,  2,  2,  2,  3,  4,  4,  2,  3,  2,  1,  2,  3,  3,  7,
   8,  9, 10, 12, 14,  3,  6,  8,  9,  9, 10, 10,  3,  4,  6,  6,  6,  7,  7,
   3,  3,  3,  3,  3,  4,  3,  1,  3,  5,  3,  2,  2,  3,  1,  4,  6,  4,  3,
   0,  3,  2,  5,  6,  5,  3,  2,  2,  4,  6,  6,  8,  9, 11, 12,  4,  6,  6,
   7,  8,  9,  9,  4,  6,  6,  5,  5,  5,  6,  4,  4,  6,  3,  2,  2,  3,  2,
   5,  7,  6,  3,  2,  2,  4,  6,  8,  7,  4,  3,  2,  5,  7,  8,  8,  5,  3,
   0,
};

}   // namespace sjpeg
